Properties of the Number 65065

Sixty-Five Thousand Sixty-Five

Basics

Value: 65064 → 65065 → 65066

Parity: odd

Prime: No

Previous Prime: 65063

Next Prime: 65071

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 11 × 13 ²

Divisors: 1, 5, 7, 11, 13, 35, 55, 65, 77, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111000101001

Octal: 177051

Duodecimal: 317A1

Hexadecimal: fe29

Square: 4233454225

Square Root: 255.07841931453157

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

Consider the e.g.f. A(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k+1 * y^2·k / (2·n+1)! and related functions B(x,y) and C(x,y), as defined in the Formula section. Sequence gives the triangular array of coefficients T(n,k) (n>=0, 0<=k<=n) of A(x,y). A326797

Nonpalindromic numbers m such that the difference between the square of m and the square of the reversal of m is itself a perfect square. Numbers ending in 0 are excluded. A202386

Self-inverse permutation of nonnegative integers, A075158-conjugate of the inverse of gray code: a(n) = 1 + A075157(A006068(A075158(n-1))). A245452

Nonpalindromic positive integers k such that the absolute value of k² - reverse(k)² is a square. A256515

Expansion of x⁴/[(1+x)*∏_k=1..3 (1-k·x)]. A243869

Occurrences of decrease of the probability density P(n) of coprime numbers k,m, satisfying 1 <= k <= a(n) and 1 <= m <= a(n), and a(n) congruent to 1 (mod 2) and a(n) not congruent to 3 (mod 6). A280879

a(n) = 5*(n+1)*binomial(n+2, 5)/2. A27778

a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 8. A22313

a(n) = 5*(n+1)*binomial(n+2,10). A27783

Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-4)/2. A48069