Properties of the Number 80897

Eighty Thousand Eight Hundred Ninety-Seven

Basics

Value: 80896 → 80897 → 80898

Parity: odd

Prime: Yes

Previous Prime: 80863

Next Prime: 80909

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 80897

Divisors: 1, 80897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110000000001

Octal: 236001

Duodecimal: 3A995

Hexadecimal: 13c01

Square: 6544324609

Square Root: 284.4239792985113

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of g.f.: exp( ∑_n>=1 σ(5·n)*xⁿ/n ). A182821

Primes of the form 512·k+1. A76339

Prime factors of generalized Fermat numbers of the form 6^{2^m} + 1 with m >= 0. A273947

Non-palindromic primes which on subtracting their reversal give perfect squares. A80177

Number of (n+3) X 10 0..2 matrices with each 4 X 4 subblock idempotent. A224727

Start of a record-breaking run of consecutive arithmetic numbers. A234801

Array read by antidiagonals upwards where A(n, k) is the number of non-isomorphic multiset partitions of weight n with k levels of brackets. A306186

Number of prime factors (with multiplicity) of generalized Fermat number 6^2ⁿ + 1. A275379

Nonnegative integers written in "base American money" - the places, from the right, are pennies, nickels, dimes, quarters, 50-cent pieces, dollars, 2 dollars, 5 dollars, 10 dollars, 20 dollars, 50 dollars, 100 dollars, ... A80897

G.f. satisfies: A(x) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n C(n,k)*A(x^n+k) ). A199102