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997,091

997,091 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.).

997,091 (nine hundred ninety-seven thousand ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF36E3.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number 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
190,799
Square (n²)
994,190,462,281
Cube (n³)
991,298,362,226,224,571
Divisor count
2
σ(n) — sum of divisors
997,092
φ(n) — Euler's totient
997,090

Primality

997,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997091
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,091)
1 × 997091
First multiples
997,091 · 1,994,182 (double) · 2,991,273 · 3,988,364 · 4,985,455 · 5,982,546 · 6,979,637 · 7,976,728 · 8,973,819 · 9,970,910

Sums & aliquot sequence

As consecutive integers: 498,545 + 498,546

Continued fraction of √n

√997,091 = [998; (1, 1, 5, 7, 1, 31, 1, 6, 4, 1, 2, 52, 5, 27, 6, 3, 10, 1, 5, 3, 2, 3, 1, 4, …)]

Representations

In words
nine hundred ninety-seven thousand ninety-one
Ordinal
997091st
Binary
11110011011011100011
Octal
3633343
Hexadecimal
0xF36E3
Base64
Dzbj
One's complement
4,293,970,204 (32-bit)
Scientific notation
9.97091 × 10⁵
As a duration
997,091 s = 11 days, 12 hours, 58 minutes, 11 seconds
In other bases
ternary (3) 1212122202022
quaternary (4) 3303123203
quinary (5) 223401331
senary (6) 33212055
septenary (7) 11321654
nonary (9) 1778668
undecimal (11) 621147
duodecimal (12) 40102b
tridecimal (13) 28bac4
tetradecimal (14) 1bd52b
pentadecimal (15) 14a67b

As an angle

997,091° = 2,769 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟζϟαʹ
Chinese
九十九萬七千零九十一
Chinese (financial)
玖拾玖萬柒仟零玖拾壹
In other modern scripts
Eastern Arabic ٩٩٧٠٩١ Devanagari ९९७०९१ Bengali ৯৯৭০৯১ Tamil ௯௯௭௦௯௧ Thai ๙๙๗๐๙๑ Tibetan ༩༩༧༠༩༡ Khmer ៩៩៧០៩១ Lao ໙໙໗໐໙໑ Burmese ၉၉၇၀၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 997097.

Hex color
#0F36E3
RGB(15, 54, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.227.

Address
0.15.54.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.54.227

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 997,091 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 997091 first appears in π at position 265,595 of the decimal expansion (the 265,595ordinal-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.