number.wiki
Number

97,001

97,001 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
10,079
Recamán's sequence
a(102,697) = 97,001
Square (n²)
9,409,194,001
Cube (n³)
912,701,227,291,001
Divisor count
2
σ(n) — sum of divisors
97,002
φ(n) — Euler's totient
97,000

Primality

97,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 97001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 97,001)
1 × 97001
First multiples
97,001 · 194,002 (double) · 291,003 · 388,004 · 485,005 · 582,006 · 679,007 · 776,008 · 873,009 · 970,010

Sums & aliquot sequence

As a sum of two squares: 80² + 301²
As consecutive integers: 48,500 + 48,501

Representations

In words
ninety-seven thousand one
Ordinal
97001st
Binary
10111101011101001
Octal
275351
Hexadecimal
0x17AE9
Base64
AXrp
One's complement
4,294,870,294 (32-bit)
In other bases
ternary (3) 11221001122
quaternary (4) 113223221
quinary (5) 11101001
senary (6) 2025025
septenary (7) 552542
nonary (9) 157048
undecimal (11) 66973
duodecimal (12) 48175
tridecimal (13) 351c8
tetradecimal (14) 274c9
pentadecimal (15) 1db1b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ϟζαʹ
Mayan (base 20)
𝋬·𝋢·𝋪·𝋡
Chinese
九萬七千零一
Chinese (financial)
玖萬柒仟零壹
In other modern scripts
Eastern Arabic ٩٧٠٠١ Devanagari ९७००१ Bengali ৯৭০০১ Tamil ௯௭௦௦௧ Thai ๙๗๐๐๑ Tibetan ༩༧༠༠༡ Khmer ៩៧០០១ Lao ໙໗໐໐໑ Burmese ၉၇၀၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 97,001 = 5
e — Euler's number (e)
Digit 97,001 = 2
φ — Golden ratio (φ)
Digit 97,001 = 3
√2 — Pythagoras's (√2)
Digit 97,001 = 6
ln 2 — Natural log of 2
Digit 97,001 = 7
γ — Euler-Mascheroni (γ)
Digit 97,001 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 96,997 (gap of 4)
  • Next prime: 97,003 (gap of 2)

Pair status: twin with 97003, cousin with 96997.

Unicode codepoint
𗫩
Tangut Ideograph-17Ae9
U+17AE9
Other letter (Lo)

UTF-8 encoding: F0 97 AB A9 (4 bytes).

Hex color
#017AE9
RGB(1, 122, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.122.233.

Address
0.1.122.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.122.233

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 97001 first appears in π at position 112,287 of the decimal expansion (the 112,287ordinal-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.