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972,967

972,967 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.).

972,967 (nine hundred seventy-two thousand nine hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xED8A7.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
40
Digit product
47,628
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
769,279
Square (n²)
946,664,783,089
Cube (n³)
921,073,594,007,755,063
Divisor count
2
σ(n) — sum of divisors
972,968
φ(n) — Euler's totient
972,966

Primality

972,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 972967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 972,967)
1 × 972967
First multiples
972,967 · 1,945,934 (double) · 2,918,901 · 3,891,868 · 4,864,835 · 5,837,802 · 6,810,769 · 7,783,736 · 8,756,703 · 9,729,670

Sums & aliquot sequence

As consecutive integers: 486,483 + 486,484

Continued fraction of √n

√972,967 = [986; (2, 1, 1, 3, 1, 3, 1, 5, 1, 1, 2, 5, 1, 3, 31, 18, 1, 1, 2, 1, 1, 1, 12, 2, …)]

Representations

In words
nine hundred seventy-two thousand nine hundred sixty-seven
Ordinal
972967th
Binary
11101101100010100111
Octal
3554247
Hexadecimal
0xED8A7
Base64
Dtin
One's complement
4,293,994,328 (32-bit)
Scientific notation
9.72967 × 10⁵
As a duration
972,967 s = 11 days, 6 hours, 16 minutes, 7 seconds
In other bases
ternary (3) 1211102122211
quaternary (4) 3231202213
quinary (5) 222113332
senary (6) 32504251
septenary (7) 11161432
nonary (9) 1742584
undecimal (11) 605006
duodecimal (12) 3ab087
tridecimal (13) 280b28
tetradecimal (14) 1b4819
pentadecimal (15) 143447

As an angle

972,967° = 2,702 × 360° + 247°
247° ≈ 4.311 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοβϡξζʹ
Chinese
九十七萬二千九百六十七
Chinese (financial)
玖拾柒萬貳仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ٩٧٢٩٦٧ Devanagari ९७२९६७ Bengali ৯৭২৯৬৭ Tamil ௯௭௨௯௬௭ Thai ๙๗๒๙๖๗ Tibetan ༩༧༢༩༦༧ Khmer ៩៧២៩៦៧ Lao ໙໗໒໙໖໗ Burmese ၉၇၂၉၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0ED8A7
RGB(14, 216, 167)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.216.167.

Address
0.14.216.167
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.216.167

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 972,967 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 972967 first appears in π at position 438,131 of the decimal expansion (the 438,131ordinal-suffix:st 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.