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133,697

133,697 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.).

133,697 (one hundred thirty-three thousand six hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20A41.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
796,331
Square (n²)
17,874,887,809
Cube (n³)
2,389,818,875,399,873
Divisor count
2
σ(n) — sum of divisors
133,698
φ(n) — Euler's totient
133,696

Primality

133,697 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133697
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,697)
1 × 133697
First multiples
133,697 · 267,394 (double) · 401,091 · 534,788 · 668,485 · 802,182 · 935,879 · 1,069,576 · 1,203,273 · 1,336,970

Sums & aliquot sequence

As a sum of two squares: 224² + 289²
As consecutive integers: 66,848 + 66,849

Continued fraction of √n

√133,697 = [365; (1, 1, 1, 4, 1, 2, 2, 5, 6, 2, 1, 8, 1, 4, 2, 1, 2, 1, 10, 1, 2, 3, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand six hundred ninety-seven
Ordinal
133697th
Binary
100000101001000001
Octal
405101
Hexadecimal
0x20A41
Base64
AgpB
One's complement
4,294,833,598 (32-bit)
Scientific notation
1.33697 × 10⁵
As a duration
133,697 s = 1 day, 13 hours, 8 minutes, 17 seconds
In other bases
ternary (3) 20210101202
quaternary (4) 200221001
quinary (5) 13234242
senary (6) 2510545
septenary (7) 1064534
nonary (9) 223352
undecimal (11) 914a3
duodecimal (12) 65455
tridecimal (13) 48b15
tetradecimal (14) 36a1b
pentadecimal (15) 29932
Palindromic in base 3

As an angle

133,697° = 371 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχϟζʹ
Mayan (base 20)
𝋰·𝋮·𝋤·𝋱
Chinese
一十三萬三千六百九十七
Chinese (financial)
壹拾參萬參仟陸佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٣٦٩٧ Devanagari १३३६९७ Bengali ১৩৩৬৯৭ Tamil ௧௩௩௬௯௭ Thai ๑๓๓๖๙๗ Tibetan ༡༣༣༦༩༧ Khmer ១៣៣៦៩៧ Lao ໑໓໓໖໙໗ Burmese ၁၃၃၆၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 133691.

Unicode codepoint
𠩁
CJK Unified Ideograph-20A41
U+20A41
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 81 (4 bytes).

Hex color
#020A41
RGB(2, 10, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.65.

Address
0.2.10.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.65

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 133,697 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.