Number

167

167 is a prime, odd, a calendar year.

Arithmetic Number Ascending Digits Chen Prime Cousin Prime Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree Year

Historical context — 167 AD

Calendar year

Year 167 (CLXVII) was a common year starting on Wednesday of the Julian calendar.

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Historical context — 167 BC

Calendar year

Year 167 BC was a year of the pre-Julian Roman calendar.

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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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 167
Ended on: Thursday
December 31, 167
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 160s
160–169
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,859
1859 years before 2026.

In other calendars

Hebrew: 3927 / 3928 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 710 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 159 / 160 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 89 / 88 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 14
Digit product: 42
Digital root: 5
Palindrome: No
Bit width: 8 bits
Reversed: 761
Recamán's sequence: a(333) = 167
Square (n²): 27,889
Cube (n³): 4,657,463
Divisor count: 2
σ(n) — sum of divisors: 168
φ(n) — Euler's totient: 166

Primality

167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 167

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 167)

1 × 167

First multiples

167 · 334 (double) · 501 · 668 · 835 · 1,002 · 1,169 · 1,336 · 1,503 · 1,670

Sums & aliquot sequence

As consecutive integers: 83 + 84

Representations

In words: one hundred sixty-seven
Ordinal: 167th
Roman numeral: CLXVII
Binary: 10100111
Octal: 247
Hexadecimal: 0xA7
Base64: pw==
One's complement: 88 (8-bit)

In other bases

ternary (3) 20012

quaternary (4) 2213

quinary (5) 1132

senary (6) 435

septenary (7) 326

nonary (9) 205

undecimal (11) 142

duodecimal (12) 11b

tridecimal (13) cb

tetradecimal (14) bd

pentadecimal (15) b2

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ρξζʹ
Mayan (base 20): 𝋨·𝋧
Chinese: 一百六十七
Chinese (financial): 壹佰陸拾柒

In other modern scripts

Eastern Arabic ١٦٧ Devanagari १६७ Bengali ১৬৭ Tamil ௧௬௭ Thai ๑๖๗ Tibetan ༡༦༧ Khmer ១៦៧ Lao ໑໖໗ Burmese ၁၆၇

Digit at this position in famous constants

π — Pi (π): Digit 167 = 7
e — Euler's number (e): Digit 167 = 6
φ — Golden ratio (φ): Digit 167 = 5
√2 — Pythagoras's (√2): Digit 167 = 9
ln 2 — Natural log of 2: Digit 167 = 8
γ — Euler-Mascheroni (γ): Digit 167 = 7

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 163 (gap of 4)
Next prime: 173 (gap of 6)

Pair status: cousin with 163, sexy with 173.

Unicode codepoint

Section Sign

U+00A7

Other punctuation (Po)

UTF-8 encoding: C2 A7 (2 bytes).

Lookup U+00A7 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0000A7

RGB(0, 0, 167)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.167.

Address: 0.0.0.167
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.167

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