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Number

971

971 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Descending Digits Emirp Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 971 AD

Calendar year

Year 971 (CMLXXI) was a common year starting on Sunday of the Julian calendar.

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Historical context — 971 BC

Decade

The 970s BC is a decade that lasted from 979 BC to 970 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
52
Started on
Tuesday
January 1, 971
Ended on
Tuesday
December 31, 971
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
970s
970–979
Century
10th century
901–1000
Millennium
1st millennium
1–1000
Years ago
1,055
1055 years before 2026.

In other calendars

Hebrew
4731 / 4732 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
360 / 361 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Goat
Sexagenary cycle position 8 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1514 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
349 / 350 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
963 / 964 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
893 / 892 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
17
Digit product
63
Digital root
8
Palindrome
No
Bit width
10 bits
Reversed
179
Recamán's sequence
a(4,477) = 971
Square (n²)
942,841
Cube (n³)
915,498,611
Divisor count
2
σ(n) — sum of divisors
972
φ(n) — Euler's totient
970

Primality

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

Divisors & multiples

All divisors (2)
1 · 971
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 971)
1 × 971
First multiples
971 · 1,942 (double) · 2,913 · 3,884 · 4,855 · 5,826 · 6,797 · 7,768 · 8,739 · 9,710

Sums & aliquot sequence

As consecutive integers: 485 + 486

Representations

In words
nine hundred seventy-one
Ordinal
971st
Roman numeral
CMLXXI
Binary
1111001011
Octal
1713
Hexadecimal
0x3CB
Base64
A8s=
One's complement
64,564 (16-bit)
In other bases
ternary (3) 1022222
quaternary (4) 33023
quinary (5) 12341
senary (6) 4255
septenary (7) 2555
nonary (9) 1288
undecimal (11) 803
duodecimal (12) 68b
tridecimal (13) 599
tetradecimal (14) 4d5
pentadecimal (15) 44b

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
ϡοαʹ
Mayan (base 20)
𝋢·𝋨·𝋫
Chinese
九百七十一
Chinese (financial)
玖佰柒拾壹
In other modern scripts
Eastern Arabic ٩٧١ Devanagari ९७१ Bengali ৯৭১ Tamil ௯௭௧ Thai ๙๗๑ Tibetan ༩༧༡ Khmer ៩៧១ Lao ໙໗໑ Burmese ၉၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 971 = 6
e — Euler's number (e)
Digit 971 = 6
φ — Golden ratio (φ)
Digit 971 = 2
√2 — Pythagoras's (√2)
Digit 971 = 9
ln 2 — Natural log of 2
Digit 971 = 2
γ — Euler-Mascheroni (γ)
Digit 971 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 967 (gap of 4)
  • Next prime: 977 (gap of 6)

Pair status: cousin with 967, sexy with 977.

Unicode codepoint
ϋ
Greek Small Letter Upsilon With Dialytika
U+03CB
Lowercase letter (Ll)

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

Hex color
#0003CB
RGB(0, 3, 203)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.203.

Address
0.0.3.203
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.203

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

NANP area code 971

The number 971 is an active NANP area code (North American Numbering Plan).

Primary area
Portland
Region
Oregon
Country
United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.