Properties of the Number 864

Eight Hundred Sixty-Four

Basics

Value: 863 → 864 → 865

Parity: even

Prime: No

Previous Prime: 863

Next Prime: 877

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000

Octal: 1540

Duodecimal: 600

Hexadecimal: 360

Square: 746496

Square Root: 29.393876913398138

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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 ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 25 (most significant digit on right). A61978

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 25 (most significant digit on right). A29518

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352