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997,813

997,813 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.).

997,813 (nine hundred ninety-seven thousand eight hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF39B5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
13,608
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
318,799
Square (n²)
995,630,782,969
Cube (n³)
993,453,338,446,646,797
Divisor count
2
σ(n) — sum of divisors
997,814
φ(n) — Euler's totient
997,812

Primality

997,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,813)
1 × 997813
First multiples
997,813 · 1,995,626 (double) · 2,993,439 · 3,991,252 · 4,989,065 · 5,986,878 · 6,984,691 · 7,982,504 · 8,980,317 · 9,978,130

Sums & aliquot sequence

As a sum of two squares: 183² + 982²
As consecutive integers: 498,906 + 498,907

Continued fraction of √n

√997,813 = [998; (1, 9, 1, 1, 1, 2, 6, 1, 6, 4, 12, 1, 4, 2, 4, 7, 1, 3, 1, 33, 15, 9, 2, 32, …)]

Representations

In words
nine hundred ninety-seven thousand eight hundred thirteen
Ordinal
997813th
Binary
11110011100110110101
Octal
3634665
Hexadecimal
0xF39B5
Base64
Dzm1
One's complement
4,293,969,482 (32-bit)
Scientific notation
9.97813 × 10⁵
As a duration
997,813 s = 11 days, 13 hours, 10 minutes, 13 seconds
In other bases
ternary (3) 1212200202001
quaternary (4) 3303212311
quinary (5) 223412223
senary (6) 33215301
septenary (7) 11324035
nonary (9) 1780661
undecimal (11) 621743
duodecimal (12) 401531
tridecimal (13) 28c22b
tetradecimal (14) 1bd8c5
pentadecimal (15) 14a9ad

As an angle

997,813° = 2,771 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζωιγʹ
Chinese
九十九萬七千八百一十三
Chinese (financial)
玖拾玖萬柒仟捌佰壹拾參
In other modern scripts
Eastern Arabic ٩٩٧٨١٣ Devanagari ९९७८१३ Bengali ৯৯৭৮১৩ Tamil ௯௯௭௮௧௩ Thai ๙๙๗๘๑๓ Tibetan ༩༩༧༨༡༣ Khmer ៩៩៧៨១៣ Lao ໙໙໗໘໑໓ Burmese ၉၉၇၈၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 997811.

Hex color
#0F39B5
RGB(15, 57, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.57.181.

Address
0.15.57.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.57.181

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 997,813 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.