Properties of the Number 9857

Nine Thousand Eight Hundred Fifty-Seven

Basics

Value: 9856 → 9857 → 9858

Parity: odd

Prime: Yes

Previous Prime: 9851

Next Prime: 9859

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 9857

Divisors: 1, 9857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010000001

Octal: 23201

Duodecimal: 5855

Hexadecimal: 2681

Square: 97160449

Square Root: 99.28242543370907

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

Primes or negative values of primes in the sequence b(n) = 47·n² - 1701·n + 10181, n >= 0. A50267

Proth primes: primes of the form k·2^m + 1 with odd k < 2^m, m >= 1. A80076

Balanced primes of order five. A96697

Base-9 Armstrong or narcissistic numbers (written in base 10). A10353

Numbers k such that prime(k) + prime(k+1) is a square. A64397

Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321. A51402

Number of positive special sums of integer partitions of n. A301854

Smallest value of·such that M(x) = -n, where M(x) is Mertens's function A002321. A51401

Base 9 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-9 digits, for some k. A162234

Primes congruent to 1 mod 64. A142925