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961,397

961,397 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.).

961,397 (nine hundred sixty-one thousand three hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEAB75.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
10,206
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
793,169
Square (n²)
924,284,191,609
Cube (n³)
888,604,048,960,317,773
Divisor count
2
σ(n) — sum of divisors
961,398
φ(n) — Euler's totient
961,396

Primality

961,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 961397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 961,397)
1 × 961397
First multiples
961,397 · 1,922,794 (double) · 2,884,191 · 3,845,588 · 4,806,985 · 5,768,382 · 6,729,779 · 7,691,176 · 8,652,573 · 9,613,970

Sums & aliquot sequence

As a sum of two squares: 554² + 809²
As consecutive integers: 480,698 + 480,699

Continued fraction of √n

√961,397 = [980; (1, 1, 28, 1, 3, 3, 12, 1, 16, 2, 3, 28, 1, 1, 4, 2, 1, 8, 1, 1, 1, 1, 8, 1, …)]

Period length 41 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-one thousand three hundred ninety-seven
Ordinal
961397th
Binary
11101010101101110101
Octal
3525565
Hexadecimal
0xEAB75
Base64
Dqt1
One's complement
4,294,005,898 (32-bit)
Scientific notation
9.61397 × 10⁵
As a duration
961,397 s = 11 days, 3 hours, 3 minutes, 17 seconds
In other bases
ternary (3) 1210211210022
quaternary (4) 3222231311
quinary (5) 221231042
senary (6) 32334525
septenary (7) 11112623
nonary (9) 1724708
undecimal (11) 5a7348
duodecimal (12) 3a4445
tridecimal (13) 278798
tetradecimal (14) 1b0513
pentadecimal (15) 13ecd2

As an angle

961,397° = 2,670 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡξατϟζʹ
Chinese
九十六萬一千三百九十七
Chinese (financial)
玖拾陸萬壹仟參佰玖拾柒
In other modern scripts
Eastern Arabic ٩٦١٣٩٧ Devanagari ९६१३९७ Bengali ৯৬১৩৯৭ Tamil ௯௬௧௩௯௭ Thai ๙๖๑๓๙๗ Tibetan ༩༦༡༣༩༧ Khmer ៩៦១៣៩៧ Lao ໙໖໑໓໙໗ Burmese ၉၆၁၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 961399, cousin with 961393.

Hex color
#0EAB75
RGB(14, 171, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.171.117.

Address
0.14.171.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.171.117

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 961,397 and was likely granted around 1910.

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.