Number

827

827 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime Year

Historical context — 827 AD

Calendar year

Year 827 (DCCCXXVII) was a common year starting on Tuesday of the Julian calendar.

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Historical context — 827 BC

Decade

This article concerns the period 829 BC – 820 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: Friday
January 1, 827
Ended on: Friday
December 31, 827
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 820s
820–829
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,199
1199 years before 2026.

In other calendars

Hebrew: 4587 / 4588 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 211 / 212 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1370 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 205 / 206 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 819 / 820 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 749 / 748 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 17
Digit product: 112
Digital root: 8
Palindrome: No
Bit width: 10 bits
Reversed: 728
Recamán's sequence: a(2,094) = 827
Square (n²): 683,929
Cube (n³): 565,609,283
Divisor count: 2
σ(n) — sum of divisors: 828
φ(n) — Euler's totient: 826

Primality

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

Divisors & multiples

All divisors (2)

1 · 827

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 827)

1 × 827

First multiples

827 · 1,654 (double) · 2,481 · 3,308 · 4,135 · 4,962 · 5,789 · 6,616 · 7,443 · 8,270

Sums & aliquot sequence

As consecutive integers: 413 + 414

Representations

In words: eight hundred twenty-seven
Ordinal: 827th
Roman numeral: DCCCXXVII
Binary: 1100111011
Octal: 1473
Hexadecimal: 0x33B
Base64: Azs=
One's complement: 64,708 (16-bit)

In other bases

ternary (3) 1010122

quaternary (4) 30323

quinary (5) 11302

senary (6) 3455

septenary (7) 2261

nonary (9) 1118

undecimal (11) 692

duodecimal (12) 58b

tridecimal (13) 4b8

tetradecimal (14) 431

pentadecimal (15) 3a2

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωκζʹ
Mayan (base 20): 𝋢·𝋡·𝋧
Chinese: 八百二十七
Chinese (financial): 捌佰貳拾柒

In other modern scripts

Eastern Arabic ٨٢٧ Devanagari ८२७ Bengali ৮২৭ Tamil ௮௨௭ Thai ๘๒๗ Tibetan ༨༢༧ Khmer ៨២៧ Lao ໘໒໗ Burmese ၈၂၇

Digit at this position in famous constants

π — Pi (π): Digit 827 = 3
e — Euler's number (e): Digit 827 = 2
φ — Golden ratio (φ): Digit 827 = 5
√2 — Pythagoras's (√2): Digit 827 = 2
ln 2 — Natural log of 2: Digit 827 = 6
γ — Euler-Mascheroni (γ): Digit 827 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 823 (gap of 4)
Next prime: 829 (gap of 2)

Pair status: twin with 829, cousin with 823.

Unicode codepoint

Combining Square Below

U+033B

Non-spacing mark (Mn)

UTF-8 encoding: CC BB (2 bytes).

Lookup U+033B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00033B

RGB(0, 3, 59)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.59.

Address: 0.0.3.59
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.59

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