Number

965

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

Arithmetic Number Deficient Number Descending Digits Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 965 AD

Calendar year

Year 965 (CMLXV) was a common year starting on Sunday of the Julian calendar.

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Historical context — 965 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: 52
Started on: Tuesday
January 1, 965
Ended on: Tuesday
December 31, 965
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 960s
960–969
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,061
1061 years before 2026.

In other calendars

Hebrew: 4725 / 4726 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 353 / 354 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Ox
Sexagenary cycle position 2 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1508 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 343 / 344 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 957 / 958 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 887 / 886 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 20
Digit product: 270
Digital root: 2
Palindrome: No
Bit width: 10 bits
Reversed: 569
Recamán's sequence: a(4,489) = 965
Square (n²): 931,225
Cube (n³): 898,632,125
Divisor count: 4
σ(n) — sum of divisors: 1,164
φ(n) — Euler's totient: 768
Sum of prime factors: 198

Primality

Prime factorization: 5 × 193

Nearest primes: 953 (−12) · 967 (+2)

Divisors & multiples

All divisors (4)

1 · 5 · 193 · 965

Aliquot sum (sum of proper divisors): 199

Factor pairs (a × b = 965)

1 × 965

5 × 193

First multiples

965 · 1,930 (double) · 2,895 · 3,860 · 4,825 · 5,790 · 6,755 · 7,720 · 8,685 · 9,650

Sums & aliquot sequence

As a sum of two squares: 2² + 31² = 17² + 26²

As consecutive integers: 482 + 483 191 + 192 + 193 + 194 + 195 92 + 93 + … + 101

Aliquot sequence: 965 → 199 → 1 → 0 — terminates at zero

Representations

In words: nine hundred sixty-five
Ordinal: 965th
Roman numeral: CMLXV
Binary: 1111000101
Octal: 1705
Hexadecimal: 0x3C5
Base64: A8U=
One's complement: 64,570 (16-bit)

In other bases

ternary (3) 1022202

quaternary (4) 33011

quinary (5) 12330

senary (6) 4245

septenary (7) 2546

nonary (9) 1282

undecimal (11) 7a8

duodecimal (12) 685

tridecimal (13) 593

tetradecimal (14) 4cd

pentadecimal (15) 445

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡξεʹ
Mayan (base 20): 𝋢·𝋨·𝋥
Chinese: 九百六十五
Chinese (financial): 玖佰陸拾伍

In other modern scripts

Eastern Arabic ٩٦٥ Devanagari ९६५ Bengali ৯৬৫ Tamil ௯௬௫ Thai ๙๖๕ Tibetan ༩༦༥ Khmer ៩៦៥ Lao ໙໖໕ Burmese ၉၆၅

Digit at this position in famous constants

π — Pi (π): Digit 965 = 2
e — Euler's number (e): Digit 965 = 8
φ — Golden ratio (φ): Digit 965 = 6
√2 — Pythagoras's (√2): Digit 965 = 1
ln 2 — Natural log of 2: Digit 965 = 7
γ — Euler-Mascheroni (γ): Digit 965 = 4

Also seen as

Unicode codepoint

Greek Small Letter Upsilon

U+03C5

Lowercase letter (Ll)

UTF-8 encoding: CF 85 (2 bytes).

Lookup U+03C5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003C5

RGB(0, 3, 197)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.197.

Address: 0.0.3.197
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.197

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