Number

967

967 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Year

Historical context — 967 AD

Calendar year

Year 967 (CMLXVII) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 967 BC

Decade

The 960s BC is a decade that lasted from 969 BC to 960 BC.

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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, 967
Ended on: Thursday
December 31, 967
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,059
1059 years before 2026.

In other calendars

Hebrew: 4727 / 4728 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 356 / 357 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1510 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 345 / 346 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 959 / 960 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 889 / 888 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 22
Digit product: 378
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 769
Recamán's sequence: a(4,485) = 967
Square (n²): 935,089
Cube (n³): 904,231,063
Divisor count: 2
σ(n) — sum of divisors: 968
φ(n) — Euler's totient: 966

Primality

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

Divisors & multiples

All divisors (2)

1 · 967

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 967)

1 × 967

First multiples

967 · 1,934 (double) · 2,901 · 3,868 · 4,835 · 5,802 · 6,769 · 7,736 · 8,703 · 9,670

Sums & aliquot sequence

As consecutive integers: 483 + 484

Representations

In words: nine hundred sixty-seven
Ordinal: 967th
Roman numeral: CMLXVII
Binary: 1111000111
Octal: 1707
Hexadecimal: 0x3C7
Base64: A8c=
One's complement: 64,568 (16-bit)

In other bases

ternary (3) 1022211

quaternary (4) 33013

quinary (5) 12332

senary (6) 4251

septenary (7) 2551

nonary (9) 1284

undecimal (11) 7aa

duodecimal (12) 687

tridecimal (13) 595

tetradecimal (14) 4d1

pentadecimal (15) 447

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡξζʹ
Mayan (base 20): 𝋢·𝋨·𝋧
Chinese: 九百六十七
Chinese (financial): 玖佰陸拾柒

In other modern scripts

Eastern Arabic ٩٦٧ Devanagari ९६७ Bengali ৯৬৭ Tamil ௯௬௭ Thai ๙๖๗ Tibetan ༩༦༧ Khmer ៩៦៧ Lao ໙໖໗ Burmese ၉၆၇

Digit at this position in famous constants

π — Pi (π): Digit 967 = 6
e — Euler's number (e): Digit 967 = 8
φ — Golden ratio (φ): Digit 967 = 4
√2 — Pythagoras's (√2): Digit 967 = 2
ln 2 — Natural log of 2: Digit 967 = 3
γ — Euler-Mascheroni (γ): Digit 967 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 953 (gap of 14)
Next prime: 971 (gap of 4)

Pair status: cousin with 971.

Unicode codepoint

Greek Small Letter Chi

U+03C7

Lowercase letter (Ll)

UTF-8 encoding: CF 87 (2 bytes).

Lookup U+03C7 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C7

RGB(0, 3, 199)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.199.

Address: 0.0.3.199
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.199

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