Number

957

957 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 957 AD

Calendar year

Year 957 (CMLVII) was a common year starting on Thursday of the Julian calendar.

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Historical context — 957 BC

Decade

The 950s BC is a decade that lasted from 959 BC to 950 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: 52
Started on: Saturday
January 1, 957
Ended on: Saturday
December 31, 957
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 950s
950–959
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,069
1069 years before 2026.

In other calendars

Hebrew: 4717 / 4718 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 345 / 346 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Snake
Sexagenary cycle position 54 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1500 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 335 / 336 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 949 / 950 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 879 / 878 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 21
Digit product: 315
Digital root: 3
Palindrome: No
Bit width: 10 bits
Reversed: 759
Recamán's sequence: a(665) = 957
Square (n²): 915,849
Cube (n³): 876,467,493
Divisor count: 8
σ(n) — sum of divisors: 1,440
φ(n) — Euler's totient: 560
Sum of prime factors: 43

Primality

Prime factorization: 3 × 11 × 29

Nearest primes: 953 (−4) · 967 (+10)

Divisors & multiples

All divisors (8)

1 · 3 · 11 · 29 · 33 · 87 · 319 · 957

Aliquot sum (sum of proper divisors): 483

Factor pairs (a × b = 957)

1 × 957

3 × 319

11 × 87

29 × 33

First multiples

957 · 1,914 (double) · 2,871 · 3,828 · 4,785 · 5,742 · 6,699 · 7,656 · 8,613 · 9,570

Sums & aliquot sequence

As consecutive integers: 478 + 479 318 + 319 + 320 157 + 158 + 159 + 160 + 161 + 162 82 + 83 + … + 92

Aliquot sequence: 957 → 483 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Representations

In words: nine hundred fifty-seven
Ordinal: 957th
Roman numeral: CMLVII
Binary: 1110111101
Octal: 1675
Hexadecimal: 0x3BD
Base64: A70=
One's complement: 64,578 (16-bit)

In other bases

ternary (3) 1022110

quaternary (4) 32331

quinary (5) 12312

senary (6) 4233

septenary (7) 2535

nonary (9) 1273

undecimal (11) 7a0

duodecimal (12) 679

tridecimal (13) 588

tetradecimal (14) 4c5

pentadecimal (15) 43c

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡνζʹ
Mayan (base 20): 𝋢·𝋧·𝋱
Chinese: 九百五十七
Chinese (financial): 玖佰伍拾柒

In other modern scripts

Eastern Arabic ٩٥٧ Devanagari ९५७ Bengali ৯৫৭ Tamil ௯௫௭ Thai ๙๕๗ Tibetan ༩༥༧ Khmer ៩៥៧ Lao ໙໕໗ Burmese ၉၅၇

Digit at this position in famous constants

π — Pi (π): Digit 957 = 8
e — Euler's number (e): Digit 957 = 4
φ — Golden ratio (φ): Digit 957 = 0
√2 — Pythagoras's (√2): Digit 957 = 6
ln 2 — Natural log of 2: Digit 957 = 2
γ — Euler-Mascheroni (γ): Digit 957 = 8

Also seen as

Unicode codepoint

Greek Small Letter Nu

U+03BD

Lowercase letter (Ll)

UTF-8 encoding: CE BD (2 bytes).

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

Hex color

#0003BD

RGB(0, 3, 189)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.189.

Address: 0.0.3.189
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.189

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