Number

1,367

1,367 is a prime, odd, a calendar year.

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

Historical context — 1367 AD

Calendar year

Year 1367 (MCCCLXVII) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1367
Ended on: Thursday
December 31, 1367
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1360s
1360–1369
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 659
659 years before 2026.

In other calendars

Hebrew: 5127 / 5128 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 768 / 769 AH
Lunar calendar; year spans differ from Gregorian.
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: 1910 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 745 / 746 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1359 / 1360 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1289 / 1288 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 17
Digit product: 126
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 7,631
Recamán's sequence: a(8,394) = 1,367
Square (n²): 1,868,689
Cube (n³): 2,554,497,863
Divisor count: 2
σ(n) — sum of divisors: 1,368
φ(n) — Euler's totient: 1,366

Primality

1,367 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1367

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,367)

1 × 1367

First multiples

1,367 · 2,734 (double) · 4,101 · 5,468 · 6,835 · 8,202 · 9,569 · 10,936 · 12,303 · 13,670

Sums & aliquot sequence

As consecutive integers: 683 + 684

Representations

In words: one thousand three hundred sixty-seven
Ordinal: 1367th
Roman numeral: MCCCLXVII
Binary: 10101010111
Octal: 2527
Hexadecimal: 0x557
Base64: BVc=
One's complement: 64,168 (16-bit)

In other bases

ternary (3) 1212122

quaternary (4) 111113

quinary (5) 20432

senary (6) 10155

septenary (7) 3662

nonary (9) 1778

undecimal (11) 1033

duodecimal (12) 95b

tridecimal (13) 812

tetradecimal (14) 6d9

pentadecimal (15) 612

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατξζʹ
Mayan (base 20): 𝋣·𝋨·𝋧
Chinese: 一千三百六十七
Chinese (financial): 壹仟參佰陸拾柒

In other modern scripts

Eastern Arabic ١٣٦٧ Devanagari १३६७ Bengali ১৩৬৭ Tamil ௧௩௬௭ Thai ๑๓๖๗ Tibetan ༡༣༦༧ Khmer ១៣៦៧ Lao ໑໓໖໗ Burmese ၁၃၆၇

Digit at this position in famous constants

π — Pi (π): Digit 1,367 = 6
e — Euler's number (e): Digit 1,367 = 5
φ — Golden ratio (φ): Digit 1,367 = 0
√2 — Pythagoras's (√2): Digit 1,367 = 7
ln 2 — Natural log of 2: Digit 1,367 = 6
γ — Euler-Mascheroni (γ): Digit 1,367 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,361 (gap of 6)
Next prime: 1,373 (gap of 6)

Pair status: sexy with 1361, sexy with 1373.

Hex color

#000557

RGB(0, 5, 87)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.87.

Address: 0.0.5.87
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.87

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

Position in π

The digit sequence 1367 first appears in π at position 1,304 of the decimal expansion (the 1,304ordinal-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 1367 on Pi Search ↗