number.wiki
Live analysis

137,597

137,597 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.).

137,597 (one hundred thirty-seven thousand five 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, 0x2197D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,615
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
795,731
Recamán's sequence
a(493,633) = 137,597
Square (n²)
18,932,934,409
Cube (n³)
2,605,114,975,875,173
Divisor count
2
σ(n) — sum of divisors
137,598
φ(n) — Euler's totient
137,596

Primality

137,597 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137597
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,597)
1 × 137597
First multiples
137,597 · 275,194 (double) · 412,791 · 550,388 · 687,985 · 825,582 · 963,179 · 1,100,776 · 1,238,373 · 1,375,970

Sums & aliquot sequence

As a sum of two squares: 146² + 341²
As consecutive integers: 68,798 + 68,799

Continued fraction of √n

√137,597 = [370; (1, 15, 1, 6, 3, 1, 4, 1, 1, 1, 10, 3, 1, 3, 1, 3, 3, 4, 4, 12, 2, 1, 23, 3, …)]

Representations

In words
one hundred thirty-seven thousand five hundred ninety-seven
Ordinal
137597th
Binary
100001100101111101
Octal
414575
Hexadecimal
0x2197D
Base64
Ahl9
One's complement
4,294,829,698 (32-bit)
Scientific notation
1.37597 × 10⁵
As a duration
137,597 s = 1 day, 14 hours, 13 minutes, 17 seconds
In other bases
ternary (3) 20222202012
quaternary (4) 201211331
quinary (5) 13400342
senary (6) 2541005
septenary (7) 1112105
nonary (9) 228665
undecimal (11) 94419
duodecimal (12) 67765
tridecimal (13) 4a825
tetradecimal (14) 38205
pentadecimal (15) 2ab82

As an angle

137,597° = 382 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζφϟζʹ
Mayan (base 20)
𝋱·𝋣·𝋳·𝋱
Chinese
一十三萬七千五百九十七
Chinese (financial)
壹拾參萬柒仟伍佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٧٥٩٧ Devanagari १३७५९७ Bengali ১৩৭৫৯৭ Tamil ௧௩௭௫௯௭ Thai ๑๓๗๕๙๗ Tibetan ༡༣༧༥༩༧ Khmer ១៣៧៥៩៧ Lao ໑໓໗໕໙໗ Burmese ၁၃၇၅၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 137593.

Unicode codepoint
𡥽
CJK Unified Ideograph-2197D
U+2197D
Other letter (Lo)

UTF-8 encoding: F0 A1 A5 BD (4 bytes).

Hex color
#02197D
RGB(2, 25, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.125.

Address
0.2.25.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.125

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 137,597 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.