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997,637

997,637 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.).

997,637 (nine hundred ninety-seven thousand six hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3905.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
41
Digit product
71,442
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
736,799
Square (n²)
995,279,583,769
Cube (n³)
992,927,738,112,553,853
Divisor count
2
σ(n) — sum of divisors
997,638
φ(n) — Euler's totient
997,636

Primality

997,637 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997637
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,637)
1 × 997637
First multiples
997,637 · 1,995,274 (double) · 2,992,911 · 3,990,548 · 4,988,185 · 5,985,822 · 6,983,459 · 7,981,096 · 8,978,733 · 9,976,370

Sums & aliquot sequence

As a sum of two squares: 641² + 766²
As consecutive integers: 498,818 + 498,819

Continued fraction of √n

√997,637 = [998; (1, 4, 2, 21, 3, 1, 6, 3, 1, 1, 3, 1, 4, 14, 1, 4, 3, 1, 1, 4, 3, 1, 1, 3, …)]

Representations

In words
nine hundred ninety-seven thousand six hundred thirty-seven
Ordinal
997637th
Binary
11110011100100000101
Octal
3634405
Hexadecimal
0xF3905
Base64
DzkF
One's complement
4,293,969,658 (32-bit)
Scientific notation
9.97637 × 10⁵
As a duration
997,637 s = 11 days, 13 hours, 7 minutes, 17 seconds
In other bases
ternary (3) 1212200111112
quaternary (4) 3303210011
quinary (5) 223411022
senary (6) 33214405
septenary (7) 11323364
nonary (9) 1780445
undecimal (11) 6215a3
duodecimal (12) 401405
tridecimal (13) 28c124
tetradecimal (14) 1bd7db
pentadecimal (15) 14a8e2

As an angle

997,637° = 2,771 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζχλζʹ
Chinese
九十九萬七千六百三十七
Chinese (financial)
玖拾玖萬柒仟陸佰參拾柒
In other modern scripts
Eastern Arabic ٩٩٧٦٣٧ Devanagari ९९७६३७ Bengali ৯৯৭৬৩৭ Tamil ௯௯௭௬௩௭ Thai ๙๙๗๖๓๗ Tibetan ༩༩༧༦༣༧ Khmer ៩៩៧៦៣៧ Lao ໙໙໗໖໓໗ Burmese ၉၉၇၆၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F3905
RGB(15, 57, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.5.

Address
0.15.57.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.57.5

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 997,637 and was likely granted around 1911.

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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.