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997,081

997,081 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.).

997,081 (nine hundred ninety-seven thousand eighty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF36D9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
180,799
Square (n²)
994,170,520,561
Cube (n³)
991,268,536,811,482,441
Divisor count
2
σ(n) — sum of divisors
997,082
φ(n) — Euler's totient
997,080

Primality

997,081 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997081
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,081)
1 × 997081
First multiples
997,081 · 1,994,162 (double) · 2,991,243 · 3,988,324 · 4,985,405 · 5,982,486 · 6,979,567 · 7,976,648 · 8,973,729 · 9,970,810

Sums & aliquot sequence

As a sum of two squares: 84² + 995²
As consecutive integers: 498,540 + 498,541

Continued fraction of √n

√997,081 = [998; (1, 1, 5, 1, 5, 4, 8, 12, 3, 1, 1, 6, 1, 1, 3, 2, 27, 3, 2, 1, 11, 5, 3, 16, …)]

Representations

In words
nine hundred ninety-seven thousand eighty-one
Ordinal
997081st
Binary
11110011011011011001
Octal
3633331
Hexadecimal
0xF36D9
Base64
DzbZ
One's complement
4,293,970,214 (32-bit)
Scientific notation
9.97081 × 10⁵
As a duration
997,081 s = 11 days, 12 hours, 58 minutes, 1 second
In other bases
ternary (3) 1212122201221
quaternary (4) 3303123121
quinary (5) 223401311
senary (6) 33212041
septenary (7) 11321641
nonary (9) 1778657
undecimal (11) 621138
duodecimal (12) 401021
tridecimal (13) 28bab7
tetradecimal (14) 1bd521
pentadecimal (15) 14a671

As an angle

997,081° = 2,769 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟζπαʹ
Chinese
九十九萬七千零八十一
Chinese (financial)
玖拾玖萬柒仟零捌拾壹
In other modern scripts
Eastern Arabic ٩٩٧٠٨١ Devanagari ९९७०८१ Bengali ৯৯৭০৮১ Tamil ௯௯௭௦௮௧ Thai ๙๙๗๐๘๑ Tibetan ༩༩༧༠༨༡ Khmer ៩៩៧០៨១ Lao ໙໙໗໐໘໑ Burmese ၉၉၇၀၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F36D9
RGB(15, 54, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.217.

Address
0.15.54.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.54.217

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 997,081 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 997081 first appears in π at position 852,165 of the decimal expansion (the 852,165ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.