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997,121

997,121 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.).

997,121 (nine hundred ninety-seven thousand one hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3701.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,134
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
121,799
Square (n²)
994,250,288,641
Cube (n³)
991,387,842,060,002,561
Divisor count
2
σ(n) — sum of divisors
997,122
φ(n) — Euler's totient
997,120

Primality

997,121 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997121
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,121)
1 × 997121
First multiples
997,121 · 1,994,242 (double) · 2,991,363 · 3,988,484 · 4,985,605 · 5,982,726 · 6,979,847 · 7,976,968 · 8,974,089 · 9,971,210

Sums & aliquot sequence

As a sum of two squares: 164² + 985²
As consecutive integers: 498,560 + 498,561

Continued fraction of √n

√997,121 = [998; (1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 10, 1, 2, 1, 1, 1, …)]

Representations

In words
nine hundred ninety-seven thousand one hundred twenty-one
Ordinal
997121st
Binary
11110011011100000001
Octal
3633401
Hexadecimal
0xF3701
Base64
DzcB
One's complement
4,293,970,174 (32-bit)
Scientific notation
9.97121 × 10⁵
As a duration
997,121 s = 11 days, 12 hours, 58 minutes, 41 seconds
In other bases
ternary (3) 1212122210102
quaternary (4) 3303130001
quinary (5) 223401441
senary (6) 33212145
septenary (7) 11322026
nonary (9) 1778712
undecimal (11) 621174
duodecimal (12) 401055
tridecimal (13) 28bb18
tetradecimal (14) 1bd54d
pentadecimal (15) 14a69b

As an angle

997,121° = 2,769 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟζρκαʹ
Chinese
九十九萬七千一百二十一
Chinese (financial)
玖拾玖萬柒仟壹佰貳拾壹
In other modern scripts
Eastern Arabic ٩٩٧١٢١ Devanagari ९९७१२१ Bengali ৯৯৭১২১ Tamil ௯௯௭௧௨௧ Thai ๙๙๗๑๒๑ Tibetan ༩༩༧༡༢༡ Khmer ៩៩៧១២១ Lao ໙໙໗໑໒໑ Burmese ၉၉၇၁၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 997123.

Hex color
#0F3701
RGB(15, 55, 1)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.1.

Address
0.15.55.1
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.1

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 997,121 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 997121 first appears in π at position 421,659 of the decimal expansion (the 421,659ordinal-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.