Properties of the Number 61357

Sixty-One Thousand Three Hundred Fifty-Seven

Basics

Value: 61356 → 61357 → 61358

Parity: odd

Prime: Yes

Previous Prime: 61343

Next Prime: 61363

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 61357

Divisors: 1, 61357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111110101101

Octal: 167655

Duodecimal: 2B611

Hexadecimal: efad

Square: 3764681449

Square Root: 247.70345173210646

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

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

Primes of the form 2·n² + 46·n + 21. A217495

a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), where m = floor((n+2)/2), T given by A027948. A27958

Let p(k) denote k-th prime; consider solutions (p(n),p(m)) of Diophantine equation p(p(n)+1)-6.p(p(m))=1 (*), where p(p(n)) belongs to A060213 and p(p(m))=(p(p(n))+1)/6; sequence gives values of p(n). A65505

Primes of the form 3n² + 10. A201480

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 17. A31605

Number of 0<k<n such that n-k and n+k are both primes. A61357