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997,021

997,021 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.).

997,021 (nine hundred ninety-seven thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF369D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
120,799
Square (n²)
994,050,874,441
Cube (n³)
991,089,596,886,040,261
Divisor count
2
σ(n) — sum of divisors
997,022
φ(n) — Euler's totient
997,020

Primality

997,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,021)
1 × 997021
First multiples
997,021 · 1,994,042 (double) · 2,991,063 · 3,988,084 · 4,985,105 · 5,982,126 · 6,979,147 · 7,976,168 · 8,973,189 · 9,970,210

Sums & aliquot sequence

As a sum of two squares: 411² + 910²
As consecutive integers: 498,510 + 498,511

Continued fraction of √n

√997,021 = [998; (1, 1, 26, 7, 1, 7, 1, 5, 2, 4, 1, 3, 18, 1, 3, 8, 2, 1, 1, 4, 3, 2, 12, 2, …)]

Representations

In words
nine hundred ninety-seven thousand twenty-one
Ordinal
997021st
Binary
11110011011010011101
Octal
3633235
Hexadecimal
0xF369D
Base64
Dzad
One's complement
4,293,970,274 (32-bit)
Scientific notation
9.97021 × 10⁵
As a duration
997,021 s = 11 days, 12 hours, 57 minutes, 1 second
In other bases
ternary (3) 1212122122201
quaternary (4) 3303122131
quinary (5) 223401041
senary (6) 33211501
septenary (7) 11321524
nonary (9) 1778581
undecimal (11) 621093
duodecimal (12) 400b91
tridecimal (13) 28ba6c
tetradecimal (14) 1bd4bb
pentadecimal (15) 14a631

As an angle

997,021° = 2,769 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟζκαʹ
Chinese
九十九萬七千零二十一
Chinese (financial)
玖拾玖萬柒仟零貳拾壹
In other modern scripts
Eastern Arabic ٩٩٧٠٢١ Devanagari ९९७०२१ Bengali ৯৯৭০২১ Tamil ௯௯௭௦௨௧ Thai ๙๙๗๐๒๑ Tibetan ༩༩༧༠༢༡ Khmer ៩៩៧០២១ Lao ໙໙໗໐໒໑ Burmese ၉၉၇၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 997019.

Hex color
#0F369D
RGB(15, 54, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.157.

Address
0.15.54.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.54.157

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 997,021 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.