Number

853

853 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Descending Digits Evil Number Perrin Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 853 AD

Calendar year

Year 853 (DCCCLIII) was a common year starting on Sunday of the Julian calendar.

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Historical context — 853 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, 853
Ended on: Wednesday
December 31, 853
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: 1,173
1173 years before 2026.

In other calendars

Hebrew: 4613 / 4614 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 238 / 239 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Rooster
Sexagenary cycle position 10 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1396 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 231 / 232 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 845 / 846 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 775 / 774 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 3
Digit sum: 16
Digit product: 120
Digital root: 7
Palindrome: No
Bit width: 10 bits
Reversed: 358
Recamán's sequence: a(825) = 853
Square (n²): 727,609
Cube (n³): 620,650,477
Divisor count: 2
σ(n) — sum of divisors: 854
φ(n) — Euler's totient: 852

Primality

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

Divisors & multiples

All divisors (2)

1 · 853

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 853)

1 × 853

First multiples

853 · 1,706 (double) · 2,559 · 3,412 · 4,265 · 5,118 · 5,971 · 6,824 · 7,677 · 8,530

Sums & aliquot sequence

As a sum of two squares: 18² + 23²

As consecutive integers: 426 + 427

Representations

In words: eight hundred fifty-three
Ordinal: 853rd
Roman numeral: DCCCLIII
Binary: 1101010101
Octal: 1525
Hexadecimal: 0x355
Base64: A1U=
One's complement: 64,682 (16-bit)

In other bases

ternary (3) 1011121

quaternary (4) 31111

quinary (5) 11403

senary (6) 3541

septenary (7) 2326

nonary (9) 1147

undecimal (11) 706

duodecimal (12) 5b1

tridecimal (13) 508

tetradecimal (14) 44d

pentadecimal (15) 3bd

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ωνγʹ
Mayan (base 20): 𝋢·𝋢·𝋭
Chinese: 八百五十三
Chinese (financial): 捌佰伍拾參

In other modern scripts

Eastern Arabic ٨٥٣ Devanagari ८५३ Bengali ৮৫৩ Tamil ௮௫௩ Thai ๘๕๓ Tibetan ༨༥༣ Khmer ៨៥៣ Lao ໘໕໓ Burmese ၈၅၃

Digit at this position in famous constants

π — Pi (π): Digit 853 = 1
e — Euler's number (e): Digit 853 = 9
φ — Golden ratio (φ): Digit 853 = 4
√2 — Pythagoras's (√2): Digit 853 = 8
ln 2 — Natural log of 2: Digit 853 = 2
γ — Euler-Mascheroni (γ): Digit 853 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 839 (gap of 14)
Next prime: 857 (gap of 4)

Pair status: cousin with 857.

Unicode codepoint

Combining Right Arrowhead Below

U+0355

Non-spacing mark (Mn)

UTF-8 encoding: CD 95 (2 bytes).

Lookup U+0355 on Compart ↗ Lookup on FileFormat.Info ↗

Network port

TCP/UDP port 853 is the well-known port for DNS-over-TLS — Encrypted DNS.

Hex color

#000355

RGB(0, 3, 85)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.85.

Address: 0.0.3.85
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.85

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