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165,721

165,721 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.).

165,721 (one hundred sixty-five thousand seven 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, 0x28759.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
420
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
127,561
Square (n²)
27,463,449,841
Cube (n³)
4,551,270,371,100,361
Divisor count
2
σ(n) — sum of divisors
165,722
φ(n) — Euler's totient
165,720

Primality

165,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 165721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 165,721)
1 × 165721
First multiples
165,721 · 331,442 (double) · 497,163 · 662,884 · 828,605 · 994,326 · 1,160,047 · 1,325,768 · 1,491,489 · 1,657,210

Sums & aliquot sequence

As a sum of two squares: 120² + 389²
As consecutive integers: 82,860 + 82,861

Continued fraction of √n

√165,721 = [407; (11, 3, 3, 1, 5, 1, 2, 1, 11, 16, 1, 7, 8, 2, 1, 4, 2, 3, 1, 2, 1, 1, 1, 1, …)]

Representations

In words
one hundred sixty-five thousand seven hundred twenty-one
Ordinal
165721st
Binary
101000011101011001
Octal
503531
Hexadecimal
0x28759
Base64
AodZ
One's complement
4,294,801,574 (32-bit)
Scientific notation
1.65721 × 10⁵
As a duration
165,721 s = 1 day, 22 hours, 2 minutes, 1 second
In other bases
ternary (3) 22102022211
quaternary (4) 220131121
quinary (5) 20300341
senary (6) 3315121
septenary (7) 1260103
nonary (9) 272284
undecimal (11) 103566
duodecimal (12) 7baa1
tridecimal (13) 5a57a
tetradecimal (14) 44573
pentadecimal (15) 34181

As an angle

165,721° = 460 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρξεψκαʹ
Chinese
一十六萬五千七百二十一
Chinese (financial)
壹拾陸萬伍仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٦٥٧٢١ Devanagari १६५७२१ Bengali ১৬৫৭২১ Tamil ௧௬௫௭௨௧ Thai ๑๖๕๗๒๑ Tibetan ༡༦༥༧༢༡ Khmer ១៦៥៧២១ Lao ໑໖໕໗໒໑ Burmese ၁၆၅၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 165719.

Unicode codepoint
𨝙
CJK Unified Ideograph-28759
U+28759
Other letter (Lo)

UTF-8 encoding: F0 A8 9D 99 (4 bytes).

Hex color
#028759
RGB(2, 135, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.135.89.

Address
0.2.135.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.135.89

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 165,721 and was likely granted around 1874.

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.