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167,221

167,221 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.).

167,221 (one hundred sixty-seven thousand two 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, 0x28D35.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
168
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
122,761
Recamán's sequence
a(471,565) = 167,221
Square (n²)
27,962,862,841
Cube (n³)
4,675,977,887,134,861
Divisor count
2
σ(n) — sum of divisors
167,222
φ(n) — Euler's totient
167,220

Primality

167,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 167221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 167,221)
1 × 167221
First multiples
167,221 · 334,442 (double) · 501,663 · 668,884 · 836,105 · 1,003,326 · 1,170,547 · 1,337,768 · 1,504,989 · 1,672,210

Sums & aliquot sequence

As a sum of two squares: 135² + 386²
As consecutive integers: 83,610 + 83,611

Continued fraction of √n

√167,221 = [408; (1, 12, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 2, 2, 1, 2, 5, 1, 2, 4, 1, 3, 1, 4, …)]

Representations

In words
one hundred sixty-seven thousand two hundred twenty-one
Ordinal
167221st
Binary
101000110100110101
Octal
506465
Hexadecimal
0x28D35
Base64
Ao01
One's complement
4,294,800,074 (32-bit)
Scientific notation
1.67221 × 10⁵
As a duration
167,221 s = 1 day, 22 hours, 27 minutes, 1 second
In other bases
ternary (3) 22111101101
quaternary (4) 220310311
quinary (5) 20322341
senary (6) 3330101
septenary (7) 1264345
nonary (9) 274341
undecimal (11) 1046aa
duodecimal (12) 80931
tridecimal (13) 5b162
tetradecimal (14) 44d25
pentadecimal (15) 34831

As an angle

167,221° = 464 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρξζσκαʹ
Chinese
一十六萬七千二百二十一
Chinese (financial)
壹拾陸萬柒仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٦٧٢٢١ Devanagari १६७२२१ Bengali ১৬৭২২১ Tamil ௧௬௭௨௨௧ Thai ๑๖๗๒๒๑ Tibetan ༡༦༧༢༢༡ Khmer ១៦៧២២១ Lao ໑໖໗໒໒໑ Burmese ၁၆၇၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨴵
CJK Unified Ideograph-28D35
U+28D35
Other letter (Lo)

UTF-8 encoding: F0 A8 B4 B5 (4 bytes).

Hex color
#028D35
RGB(2, 141, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.141.53.

Address
0.2.141.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.141.53

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 167,221 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.