Number

1,167

1,167 is a composite number, odd, a calendar year.

1,167 (one thousand one hundred sixty-seven) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 3 × 389. Written other ways, in Roman numerals it is MCLXVII and in binary, 10010001111.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,155 1,156 1,157 1,158 1,159 1,160 1,161 1,162 1,163 1,164 1,165 1,166 1,167 1,168 1,169 1,170 1,171 1,172 1,173 1,174 1,175 1,176 1,177 1,178 1,179

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Historical context — 1167 AD

Calendar year

Year 1167 (MCLXVII) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 52
Started on: Sunday
January 1, 1167
Ended on: Sunday
December 31, 1167
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1160s
1160–1169
Century: 12th century
1101–1200
Millennium: 2nd millennium
1001–2000
Years ago: 859
859 years before 2026.

In other calendars

Hebrew: 4927 / 4928 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 562 / 563 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Pig
Sexagenary cycle position 24 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1710 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 545 / 546 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1159 / 1160 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1089 / 1088 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 15
Digit product: 42
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 7,611
Recamán's sequence: a(1,838) = 1,167
Square (n²): 1,361,889
Cube (n³): 1,589,324,463
Divisor count: 4
σ(n) — sum of divisors: 1,560
φ(n) — Euler's totient: 776
Sum of prime factors: 392

Primality

Prime factorization: 3 × 389

Nearest primes: 1,163 (−4) · 1,171 (+4)

Divisors & multiples

All divisors (4)

1 · 3 · 389 · 1167

Aliquot sum (sum of proper divisors): 393

Factor pairs (a × b = 1,167)

1 × 1167

3 × 389

First multiples

1,167 · 2,334 (double) · 3,501 · 4,668 · 5,835 · 7,002 · 8,169 · 9,336 · 10,503 · 11,670

Sums & aliquot sequence

As consecutive integers: 583 + 584 388 + 389 + 390 192 + 193 + 194 + 195 + 196 + 197

Aliquot sequence: 1,167 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,167 = [34; (6, 5, 11, 5, 6, 68)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one thousand one hundred sixty-seven
Ordinal: 1167th
Roman numeral: MCLXVII
Binary: 10010001111
Octal: 2217
Hexadecimal: 0x48F
Base64: BI8=
One's complement: 64,368 (16-bit)
Scientific notation: 1.167 × 10³
As a duration: 1,167 s = 19 minutes, 27 seconds

In other bases

ternary (3) 1121020

quaternary (4) 102033

quinary (5) 14132

senary (6) 5223

septenary (7) 3255

nonary (9) 1536

undecimal (11) 971

duodecimal (12) 813

tridecimal (13) 6ba

tetradecimal (14) 5d5

pentadecimal (15) 52c

Palindromic in base 14

As an angle

1,167° = 3 × 360° + 87°

87° ≈ 1.518 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αρξζʹ
Mayan (base 20): 𝋢·𝋲·𝋧
Chinese: 一千一百六十七
Chinese (financial): 壹仟壹佰陸拾柒

In other modern scripts

Eastern Arabic ١١٦٧ Devanagari ११६७ Bengali ১১৬৭ Tamil ௧௧௬௭ Thai ๑๑๖๗ Tibetan ༡༡༦༧ Khmer ១១៦៧ Lao ໑໑໖໗ Burmese ၁၁၆၇

Digit at this position in famous constants

π — Pi (π): Digit 1,167 = 1
e — Euler's number (e): Digit 1,167 = 6
φ — Golden ratio (φ): Digit 1,167 = 4
√2 — Pythagoras's (√2): Digit 1,167 = 8
ln 2 — Natural log of 2: Digit 1,167 = 0
γ — Euler-Mascheroni (γ): Digit 1,167 = 2

Also seen as

Unicode codepoint

Cyrillic Small Letter Er With Tick

U+048F

Lowercase letter (Ll)

UTF-8 encoding: D2 8F (2 bytes).

Lookup U+048F on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00048F

RGB(0, 4, 143)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.143.

Address: 0.0.4.143
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.143

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 1,167 Hz is closest to:

Concert pitch (A4 = 440 Hz): D6 (1174.7 Hz, -11¢)
Scientific pitch (C4 = 256 Hz): D6 (1149.4 Hz, +26¢)
Baroque pitch (A4 = 415 Hz): D♯6 (1173.8 Hz, -10¢)

Position in π

The digit sequence 1167 first appears in π at position 3,398 of the decimal expansion (the 3,398ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1167 on Pi Search ↗