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967,361

967,361 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.).

967,361 (nine hundred sixty-seven thousand three hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEC2C1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,804
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
163,769
Square (n²)
935,787,304,321
Cube (n³)
905,244,142,495,266,881
Divisor count
2
σ(n) — sum of divisors
967,362
φ(n) — Euler's totient
967,360

Primality

967,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 967361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 967,361)
1 × 967361
First multiples
967,361 · 1,934,722 (double) · 2,902,083 · 3,869,444 · 4,836,805 · 5,804,166 · 6,771,527 · 7,738,888 · 8,706,249 · 9,673,610

Sums & aliquot sequence

As a sum of two squares: 505² + 844²
As consecutive integers: 483,680 + 483,681

Continued fraction of √n

√967,361 = [983; (1, 1, 5, 24, 2, 2, 5, 2, 7, 1, 10, 2, 21, 1, 1, 1, 1, 1, 16, 1, 3, 1, 1, 1, …)]

Representations

In words
nine hundred sixty-seven thousand three hundred sixty-one
Ordinal
967361st
Binary
11101100001011000001
Octal
3541301
Hexadecimal
0xEC2C1
Base64
DsLB
One's complement
4,293,999,934 (32-bit)
Scientific notation
9.67361 × 10⁵
As a duration
967,361 s = 11 days, 4 hours, 42 minutes, 41 seconds
In other bases
ternary (3) 1211010222012
quaternary (4) 3230023001
quinary (5) 221423421
senary (6) 32422305
septenary (7) 11136203
nonary (9) 1733865
undecimal (11) 60087a
duodecimal (12) 3a7995
tridecimal (13) 27b405
tetradecimal (14) 1b2773
pentadecimal (15) 14195b

As an angle

967,361° = 2,687 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡξζτξαʹ
Chinese
九十六萬七千三百六十一
Chinese (financial)
玖拾陸萬柒仟參佰陸拾壹
In other modern scripts
Eastern Arabic ٩٦٧٣٦١ Devanagari ९६७३६१ Bengali ৯৬৭৩৬১ Tamil ௯௬௭௩௬௧ Thai ๙๖๗๓๖๑ Tibetan ༩༦༧༣༦༡ Khmer ៩៦៧៣៦១ Lao ໙໖໗໓໖໑ Burmese ၉၆၇၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 967363.

Hex color
#0EC2C1
RGB(14, 194, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.194.193.

Address
0.14.194.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.194.193

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 967,361 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 967361 first appears in π at position 149,789 of the decimal expansion (the 149,789ordinal-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.