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121,997

121,997 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.).

121,997 (one hundred twenty-one thousand nine hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1DC8D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Left-Truncatable Prime Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,134
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
799,121
Square (n²)
14,883,268,009
Cube (n³)
1,815,714,047,293,973
Divisor count
2
σ(n) — sum of divisors
121,998
φ(n) — Euler's totient
121,996

Primality

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

Divisors & multiples

All divisors (2)
1 · 121997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 121,997)
1 × 121997
First multiples
121,997 · 243,994 (double) · 365,991 · 487,988 · 609,985 · 731,982 · 853,979 · 975,976 · 1,097,973 · 1,219,970

Sums & aliquot sequence

As a sum of two squares: 14² + 349²
As consecutive integers: 60,998 + 60,999

Continued fraction of √n

√121,997 = [349; (3, 1, 1, 3, 2, 24, 1, 1, 24, 2, 3, 1, 1, 3, 698)]

Period length 15 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand nine hundred ninety-seven
Ordinal
121997th
Binary
11101110010001101
Octal
356215
Hexadecimal
0x1DC8D
Base64
AdyN
One's complement
4,294,845,298 (32-bit)
Scientific notation
1.21997 × 10⁵
As a duration
121,997 s = 1 day, 9 hours, 53 minutes, 17 seconds
In other bases
ternary (3) 20012100102
quaternary (4) 131302031
quinary (5) 12400442
senary (6) 2340445
septenary (7) 1015451
nonary (9) 205312
undecimal (11) 83727
duodecimal (12) 5a725
tridecimal (13) 436b5
tetradecimal (14) 32661
pentadecimal (15) 26232

As an angle

121,997° = 338 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαϡϟζʹ
Mayan (base 20)
𝋯·𝋤·𝋳·𝋱
Chinese
一十二萬一千九百九十七
Chinese (financial)
壹拾貳萬壹仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٢١٩٩٧ Devanagari १२१९९७ Bengali ১২১৯৯৭ Tamil ௧௨௧௯௯௭ Thai ๑๒๑๙๙๗ Tibetan ༡༢༡༩༩༧ Khmer ១២១៩៩៧ Lao ໑໒໑໙໙໗ Burmese ၁၂၁၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121993.

Hex color
#01DC8D
RGB(1, 220, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.141.

Address
0.1.220.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.141

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 121,997 and was likely granted around 1871.

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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.