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Number

961

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

Arithmetic Number Deficient Number Descending Digits Flippable Odious Number Perfect Square Pernicious Number Powerful Number Recamán's Sequence Semiprime Year

Historical context — 961 AD

Calendar year

Year 961 (CMLXI) was a common year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 961 BC

Decade

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

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, 961
Ended on
Thursday
December 31, 961
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
1,065
1065 years before 2026.

In other calendars

Hebrew
4721 / 4722 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
349 / 350 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Rooster
Sexagenary cycle position 58 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1504 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
339 / 340 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
953 / 954 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
883 / 882 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
16
Digit product
54
Digital root
7
Palindrome
No
Bit width
10 bits
Reversed
169
Flips to (rotate 180°)
196
Recamán's sequence
a(673) = 961
Square (n²)
923,521
Cube (n³)
887,503,681
Square root (√n)
31
Divisor count
3
σ(n) — sum of divisors
993
φ(n) — Euler's totient
930
Sum of prime factors
62

Primality

Prime factorization: 31 2

Nearest primes: 953 (−8) · 967 (+6)

Divisors & multiples

All divisors (3)
1 · 31 · 961
Aliquot sum (sum of proper divisors): 32
Factor pairs (a × b = 961)
1 × 961
31 × 31
First multiples
961 · 1,922 (double) · 2,883 · 3,844 · 4,805 · 5,766 · 6,727 · 7,688 · 8,649 · 9,610

Sums & aliquot sequence

As a sum of two squares: 0² + 31²
As consecutive integers: 480 + 481 16 + 17 + … + 46
Aliquot sequence: 961 32 31 1 0 — terminates at zero

Representations

In words
nine hundred sixty-one
Ordinal
961st
Roman numeral
CMLXI
Binary
1111000001
Octal
1701
Hexadecimal
0x3C1
Base64
A8E=
One's complement
64,574 (16-bit)
In other bases
ternary (3) 1022121
quaternary (4) 33001
quinary (5) 12321
senary (6) 4241
septenary (7) 2542
nonary (9) 1277
undecimal (11) 7a4
duodecimal (12) 681
tridecimal (13) 58c
tetradecimal (14) 4c9
pentadecimal (15) 441

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
ϡξαʹ
Mayan (base 20)
𝋢·𝋨·𝋡
Chinese
九百六十一
Chinese (financial)
玖佰陸拾壹
In other modern scripts
Eastern Arabic ٩٦١ Devanagari ९६१ Bengali ৯৬১ Tamil ௯௬௧ Thai ๙๖๑ Tibetan ༩༦༡ Khmer ៩៦១ Lao ໙໖໑ Burmese ၉၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 961 = 2
e — Euler's number (e)
Digit 961 = 4
φ — Golden ratio (φ)
Digit 961 = 6
√2 — Pythagoras's (√2)
Digit 961 = 1
ln 2 — Natural log of 2
Digit 961 = 3
γ — Euler-Mascheroni (γ)
Digit 961 = 7

Also seen as

Unicode codepoint
ρ
Greek Small Letter Rho
U+03C1
Lowercase letter (Ll)

UTF-8 encoding: CF 81 (2 bytes).

Hex color
#0003C1
RGB(0, 3, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.193.

Address
0.0.3.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.193

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000961
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.