Number

829

829 is a prime, odd, a calendar year.

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

Historical context — 829 AD

Calendar year

Year 829 (DCCCXXIX) was a common year starting on Friday of the Julian calendar.

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Historical context — 829 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: Monday
January 1, 829
Ended on: Monday
December 31, 829
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 820s
820–829
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,197
1197 years before 2026.

In other calendars

Hebrew: 4589 / 4590 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 213 / 214 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Rooster
Sexagenary cycle position 46 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1372 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 207 / 208 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 821 / 822 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 751 / 750 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 19
Digit product: 144
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 928
Recamán's sequence: a(30,766) = 829
Square (n²): 687,241
Cube (n³): 569,722,789
Divisor count: 2
σ(n) — sum of divisors: 830
φ(n) — Euler's totient: 828

Primality

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

Divisors & multiples

All divisors (2)

1 · 829

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 829)

1 × 829

First multiples

829 · 1,658 (double) · 2,487 · 3,316 · 4,145 · 4,974 · 5,803 · 6,632 · 7,461 · 8,290

Sums & aliquot sequence

As a sum of two squares: 10² + 27²

As consecutive integers: 414 + 415

Representations

In words: eight hundred twenty-nine
Ordinal: 829th
Roman numeral: DCCCXXIX
Binary: 1100111101
Octal: 1475
Hexadecimal: 0x33D
Base64: Az0=
One's complement: 64,706 (16-bit)

In other bases

ternary (3) 1010201

quaternary (4) 30331

quinary (5) 11304

senary (6) 3501

septenary (7) 2263

nonary (9) 1121

undecimal (11) 694

duodecimal (12) 591

tridecimal (13) 4ba

tetradecimal (14) 433

pentadecimal (15) 3a4

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωκθʹ
Mayan (base 20): 𝋢·𝋡·𝋩
Chinese: 八百二十九
Chinese (financial): 捌佰貳拾玖

In other modern scripts

Eastern Arabic ٨٢٩ Devanagari ८२९ Bengali ৮২৯ Tamil ௮௨௯ Thai ๘๒๙ Tibetan ༨༢༩ Khmer ៨២៩ Lao ໘໒໙ Burmese ၈၂၉

Digit at this position in famous constants

π — Pi (π): Digit 829 = 8
e — Euler's number (e): Digit 829 = 9
φ — Golden ratio (φ): Digit 829 = 5
√2 — Pythagoras's (√2): Digit 829 = 9
ln 2 — Natural log of 2: Digit 829 = 4
γ — Euler-Mascheroni (γ): Digit 829 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 827 (gap of 2)
Next prime: 839 (gap of 10)

Pair status: twin with 827.

Unicode codepoint

Combining X Above

U+033D

Non-spacing mark (Mn)

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

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

Hex color

#00033D

RGB(0, 3, 61)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.61.

Address: 0.0.3.61
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.61

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

NANP area code 829

The number 829 is an active NANP area code (North American Numbering Plan).

Primary area: Statewide
Region: Dominican Republic
Country: Dominican Republic

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

Look up area code 829 ↗