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997,037

997,037 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.).

997,037 (nine hundred ninety-seven thousand thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF36AD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
730,799
Square (n²)
994,082,779,369
Cube (n³)
991,137,312,093,729,653
Divisor count
2
σ(n) — sum of divisors
997,038
φ(n) — Euler's totient
997,036

Primality

997,037 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997037
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,037)
1 × 997037
First multiples
997,037 · 1,994,074 (double) · 2,991,111 · 3,988,148 · 4,985,185 · 5,982,222 · 6,979,259 · 7,976,296 · 8,973,333 · 9,970,370

Sums & aliquot sequence

As a sum of two squares: 334² + 941²
As consecutive integers: 498,518 + 498,519

Continued fraction of √n

√997,037 = [998; (1, 1, 13, 1, 6, 1, 1, 11, 1, 1, 1, 4, 9, 4, 1, 6, 1, 3, 1, 2, 1, 5, 1, 1, …)]

Representations

In words
nine hundred ninety-seven thousand thirty-seven
Ordinal
997037th
Binary
11110011011010101101
Octal
3633255
Hexadecimal
0xF36AD
Base64
Dzat
One's complement
4,293,970,258 (32-bit)
Scientific notation
9.97037 × 10⁵
As a duration
997,037 s = 11 days, 12 hours, 57 minutes, 17 seconds
In other bases
ternary (3) 1212122200022
quaternary (4) 3303122231
quinary (5) 223401122
senary (6) 33211525
septenary (7) 11321546
nonary (9) 1778608
undecimal (11) 6210a8
duodecimal (12) 400ba5
tridecimal (13) 28ba82
tetradecimal (14) 1bd4cd
pentadecimal (15) 14a642

As an angle

997,037° = 2,769 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟζλζʹ
Chinese
九十九萬七千零三十七
Chinese (financial)
玖拾玖萬柒仟零參拾柒
In other modern scripts
Eastern Arabic ٩٩٧٠٣٧ Devanagari ९९७०३७ Bengali ৯৯৭০৩৭ Tamil ௯௯௭௦௩௭ Thai ๙๙๗๐๓๗ Tibetan ༩༩༧༠༣༧ Khmer ៩៩៧០៣៧ Lao ໙໙໗໐໓໗ Burmese ၉၉၇၀၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 997043.

Hex color
#0F36AD
RGB(15, 54, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.173.

Address
0.15.54.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.54.173

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 997,037 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.