number.wiki
Live analysis

135,977

135,977 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

135,977 (one hundred thirty-five thousand nine hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21329.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,615
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
779,531
Square (n²)
18,489,744,529
Cube (n³)
2,514,179,991,819,833
Divisor count
2
σ(n) — sum of divisors
135,978
φ(n) — Euler's totient
135,976

Primality

135,977 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 135977
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 135,977)
1 × 135977
First multiples
135,977 · 271,954 (double) · 407,931 · 543,908 · 679,885 · 815,862 · 951,839 · 1,087,816 · 1,223,793 · 1,359,770

Sums & aliquot sequence

As a sum of two squares: 59² + 364²
As consecutive integers: 67,988 + 67,989

Continued fraction of √n

√135,977 = [368; (1, 3, 105, 9, 3, 14, 1, 2, 1, 2, 3, 5, 1, 1, 24, 1, 7, 1, 12, 3, 1, 1, 4, 91, …)]

Representations

In words
one hundred thirty-five thousand nine hundred seventy-seven
Ordinal
135977th
Binary
100001001100101001
Octal
411451
Hexadecimal
0x21329
Base64
AhMp
One's complement
4,294,831,318 (32-bit)
Scientific notation
1.35977 × 10⁵
As a duration
135,977 s = 1 day, 13 hours, 46 minutes, 17 seconds
In other bases
ternary (3) 20220112012
quaternary (4) 201030221
quinary (5) 13322402
senary (6) 2525305
septenary (7) 1104302
nonary (9) 226465
undecimal (11) 93186
duodecimal (12) 66835
tridecimal (13) 49b7a
tetradecimal (14) 377a9
pentadecimal (15) 2a452

As an angle

135,977° = 377 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϡοζʹ
Mayan (base 20)
𝋰·𝋳·𝋲·𝋱
Chinese
一十三萬五千九百七十七
Chinese (financial)
壹拾參萬伍仟玖佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٥٩٧٧ Devanagari १३५९७७ Bengali ১৩৫৯৭৭ Tamil ௧௩௫௯௭௭ Thai ๑๓๕๙๗๗ Tibetan ༡༣༥༩༧༧ Khmer ១៣៥៩៧៧ Lao ໑໓໕໙໗໗ Burmese ၁၃၅၉၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 135979.

Unicode codepoint
𡌩
CJK Unified Ideograph-21329
U+21329
Other letter (Lo)

UTF-8 encoding: F0 A1 8C A9 (4 bytes).

Hex color
#021329
RGB(2, 19, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.41.

Address
0.2.19.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.41

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 135,977 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.