Number

977

977 is a prime, odd, a calendar year.

977 (nine hundred seventy-seven) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is CMLXXVII and in binary, 1111010001.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Interestingness

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9 notable facts · grade A

965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989

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Historical context — 977 AD

Calendar year

Year 977 (CMLXXVII) was a common year starting on Monday of the Julian calendar.

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

Historical context — 977 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 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: Wednesday
January 1, 977
Ended on: Wednesday
December 31, 977
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 970s
970–979
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,049
1049 years before 2026.

In other calendars

Hebrew: 4737 / 4738 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 366 / 367 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1520 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 355 / 356 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 969 / 970 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 899 / 898 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 23
Digit product: 441
Digital root: 5
Palindrome: No
Bit width: 10 bits
Reversed: 779
Recamán's sequence: a(4,465) = 977
Square (n²): 954,529
Cube (n³): 932,574,833
Divisor count: 2
σ(n) — sum of divisors: 978
φ(n) — Euler's totient: 976

Primality

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

Divisors & multiples

All divisors (2)

1 · 977

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 977)

1 × 977

First multiples

977 · 1,954 (double) · 2,931 · 3,908 · 4,885 · 5,862 · 6,839 · 7,816 · 8,793 · 9,770

Sums & aliquot sequence

As a sum of two squares: 4² + 31²

As consecutive integers: 488 + 489

Continued fraction of √n

√977 = [31; (3, 1, 8, 5, 1, 1, 3, 7, 1, 1, 7, 3, 1, 1, 5, 8, 1, 3, 62)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words: nine hundred seventy-seven
Ordinal: 977th
Roman numeral: CMLXXVII
Binary: 1111010001
Octal: 1721
Hexadecimal: 0x3D1
Base64: A9E=
One's complement: 64,558 (16-bit)
Scientific notation: 9.77 × 10²
As a duration: 977 s = 16 minutes, 17 seconds

In other bases

ternary (3) 1100012

quaternary (4) 33101

quinary (5) 12402

senary (6) 4305

septenary (7) 2564

nonary (9) 1305

undecimal (11) 809

duodecimal (12) 695

tridecimal (13) 5a2

tetradecimal (14) 4db

pentadecimal (15) 452

As an angle

977° = 2 × 360° + 257°

257° ≈ 4.485 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡοζʹ
Mayan (base 20): 𝋢·𝋨·𝋱
Chinese: 九百七十七
Chinese (financial): 玖佰柒拾柒

In other modern scripts

Eastern Arabic ٩٧٧ Devanagari ९७७ Bengali ৯৭৭ Tamil ௯௭௭ Thai ๙๗๗ Tibetan ༩༧༧ Khmer ៩៧៧ Lao ໙໗໗ Burmese ၉၇၇

Digit at this position in famous constants

π — Pi (π): Digit 977 = 9
e — Euler's number (e): Digit 977 = 9
φ — Golden ratio (φ): Digit 977 = 5
√2 — Pythagoras's (√2): Digit 977 = 8
ln 2 — Natural log of 2: Digit 977 = 1
γ — Euler-Mascheroni (γ): Digit 977 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 971 (gap of 6)
Next prime: 983 (gap of 6)

Pair status: sexy with 971, sexy with 983.

Unicode codepoint

Greek Theta Symbol

U+03D1

Lowercase letter (Ll)

UTF-8 encoding: CF 91 (2 bytes).

Lookup U+03D1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003D1

RGB(0, 3, 209)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.209.

Address: 0.0.3.209
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.209

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

Musical pitch

Heard as a frequency, 977 Hz is closest to:

Concert pitch (A4 = 440 Hz): B5 (987.8 Hz, -19¢)
Scientific pitch (C4 = 256 Hz): B5 (966.5 Hz, +19¢)
Baroque pitch (A4 = 415 Hz): C6 (987 Hz, -18¢)