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167,009

167,009 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.).

167,009 (one hundred sixty-seven thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x28C61.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
900,761
Recamán's sequence
a(471,989) = 167,009
Square (n²)
27,892,006,081
Cube (n³)
4,658,216,043,581,729
Divisor count
2
σ(n) — sum of divisors
167,010
φ(n) — Euler's totient
167,008

Primality

167,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 167009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 167,009)
1 × 167009
First multiples
167,009 · 334,018 (double) · 501,027 · 668,036 · 835,045 · 1,002,054 · 1,169,063 · 1,336,072 · 1,503,081 · 1,670,090

Sums & aliquot sequence

As a sum of two squares: 272² + 305²
As consecutive integers: 83,504 + 83,505

Continued fraction of √n

√167,009 = [408; (1, 2, 163, 7, 2, 32, 4, 2, 2, 3, 6, 4, 13, 6, 3, 4, 2, 2, 4, 3, 6, 13, 4, 6, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand nine
Ordinal
167009th
Binary
101000110001100001
Octal
506141
Hexadecimal
0x28C61
Base64
Aoxh
One's complement
4,294,800,286 (32-bit)
Scientific notation
1.67009 × 10⁵
As a duration
167,009 s = 1 day, 22 hours, 23 minutes, 29 seconds
In other bases
ternary (3) 22111002112
quaternary (4) 220301201
quinary (5) 20321014
senary (6) 3325105
septenary (7) 1263623
nonary (9) 274075
undecimal (11) 104527
duodecimal (12) 80795
tridecimal (13) 5b02b
tetradecimal (14) 44c13
pentadecimal (15) 3473e

As an angle

167,009° = 463 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξζθʹ
Chinese
一十六萬七千零九
Chinese (financial)
壹拾陸萬柒仟零玖
In other modern scripts
Eastern Arabic ١٦٧٠٠٩ Devanagari १६७००९ Bengali ১৬৭০০৯ Tamil ௧௬௭௦௦௯ Thai ๑๖๗๐๐๙ Tibetan ༡༦༧༠༠༩ Khmer ១៦៧០០៩ Lao ໑໖໗໐໐໙ Burmese ၁၆၇၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨱡
CJK Unified Ideograph-28C61
U+28C61
Other letter (Lo)

UTF-8 encoding: F0 A8 B1 A1 (4 bytes).

Hex color
#028C61
RGB(2, 140, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.140.97.

Address
0.2.140.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.140.97

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 167,009 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.