Number

859

859 is a prime, odd, a calendar year.

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

Historical context — 859 AD

Calendar year

Year 859 (DCCCLIX) was a common year starting on Sunday of the Julian calendar.

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Historical context — 859 BC

Decade

This article concerns the period 859 BC – 850 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: Wednesday
January 1, 859
Ended on: Wednesday
December 31, 859
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 850s
850–859
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,167
1167 years before 2026.

In other calendars

Hebrew: 4619 / 4620 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 244 / 245 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Rabbit
Sexagenary cycle position 16 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1402 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 237 / 238 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 851 / 852 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 781 / 780 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 22
Digit product: 360
Digital root: 4
Palindrome: No
Bit width: 10 bits
Reversed: 958
Recamán's sequence: a(813) = 859
Square (n²): 737,881
Cube (n³): 633,839,779
Divisor count: 2
σ(n) — sum of divisors: 860
φ(n) — Euler's totient: 858

Primality

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

Divisors & multiples

All divisors (2)

1 · 859

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 859)

1 × 859

First multiples

859 · 1,718 (double) · 2,577 · 3,436 · 4,295 · 5,154 · 6,013 · 6,872 · 7,731 · 8,590

Sums & aliquot sequence

As consecutive integers: 429 + 430

Representations

In words: eight hundred fifty-nine
Ordinal: 859th
Roman numeral: DCCCLIX
Binary: 1101011011
Octal: 1533
Hexadecimal: 0x35B
Base64: A1s=
One's complement: 64,676 (16-bit)

In other bases

ternary (3) 1011211

quaternary (4) 31123

quinary (5) 11414

senary (6) 3551

septenary (7) 2335

nonary (9) 1154

undecimal (11) 711

duodecimal (12) 5b7

tridecimal (13) 511

tetradecimal (14) 455

pentadecimal (15) 3c4

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ωνθʹ
Mayan (base 20): 𝋢·𝋢·𝋳
Chinese: 八百五十九
Chinese (financial): 捌佰伍拾玖

In other modern scripts

Eastern Arabic ٨٥٩ Devanagari ८५९ Bengali ৮৫৯ Tamil ௮௫௯ Thai ๘๕๙ Tibetan ༨༥༩ Khmer ៨៥៩ Lao ໘໕໙ Burmese ၈၅၉

Digit at this position in famous constants

π — Pi (π): Digit 859 = 3
e — Euler's number (e): Digit 859 = 4
φ — Golden ratio (φ): Digit 859 = 1
√2 — Pythagoras's (√2): Digit 859 = 0
ln 2 — Natural log of 2: Digit 859 = 2
γ — Euler-Mascheroni (γ): Digit 859 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 857 (gap of 2)
Next prime: 863 (gap of 4)

Pair status: twin with 857, cousin with 863.

Unicode codepoint

Combining Zigzag Above

U+035B

Non-spacing mark (Mn)

UTF-8 encoding: CD 9B (2 bytes).

Lookup U+035B on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00035B

RGB(0, 3, 91)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.91.

Address: 0.0.3.91
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.91

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

NANP area code 859

The number 859 is an active NANP area code (North American Numbering Plan).

Primary area: Lexington / Northern Kentucky
Region: Kentucky
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.

Look up area code 859 ↗