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Number

84,521

84,521 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
320
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
12,548
Recamán's sequence
a(115,165) = 84,521
Square (n²)
7,143,799,441
Cube (n³)
603,801,072,552,761
Divisor count
2
σ(n) — sum of divisors
84,522
φ(n) — Euler's totient
84,520

Primality

84,521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 84521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 84,521)
1 × 84521
First multiples
84,521 · 169,042 (double) · 253,563 · 338,084 · 422,605 · 507,126 · 591,647 · 676,168 · 760,689 · 845,210

Sums & aliquot sequence

As a sum of two squares: 200² + 211²
As consecutive integers: 42,260 + 42,261

Representations

In words
eighty-four thousand five hundred twenty-one
Ordinal
84521st
Binary
10100101000101001
Octal
245051
Hexadecimal
0x14A29
Base64
AUop
One's complement
4,294,882,774 (32-bit)
In other bases
ternary (3) 11021221102
quaternary (4) 110220221
quinary (5) 10201041
senary (6) 1451145
septenary (7) 501263
nonary (9) 137842
undecimal (11) 58558
duodecimal (12) 40ab5
tridecimal (13) 2c618
tetradecimal (14) 22b33
pentadecimal (15) 1a09b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵πδφκαʹ
Mayan (base 20)
𝋪·𝋫·𝋦·𝋡
Chinese
八萬四千五百二十一
Chinese (financial)
捌萬肆仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ٨٤٥٢١ Devanagari ८४५२१ Bengali ৮৪৫২১ Tamil ௮௪௫௨௧ Thai ๘๔๕๒๑ Tibetan ༨༤༥༢༡ Khmer ៨៤៥២១ Lao ໘໔໕໒໑ Burmese ၈၄၅၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 84,521 = 2
e — Euler's number (e)
Digit 84,521 = 8
φ — Golden ratio (φ)
Digit 84,521 = 5
√2 — Pythagoras's (√2)
Digit 84,521 = 2
ln 2 — Natural log of 2
Digit 84,521 = 2
γ — Euler-Mascheroni (γ)
Digit 84,521 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,509 (gap of 12)
  • Next prime: 84,523 (gap of 2)

Pair status: twin with 84523.

Hex color
#014A29
RGB(1, 74, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.74.41.

Address
0.1.74.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.74.41

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000084521
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 84521 first appears in π at position 67,763 of the decimal expansion (the 67,763ordinal-suffix:rd 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.