10564 has 12 divisors (see below), whose sum is σ = 19600. Its totient is φ = 4968.

The previous prime is 10559. The next prime is 10567. The reversal of 10564 is 46501.

It is a super-2 number, since 2×10564² = 223196192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 145.

2¹⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

10564 is a deficient number, since it is larger than the sum of its proper divisors (9036).

10564 is a wasteful number, since it uses less digits than its factorization.

10564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10564 is about 102.7813212602. The cubic root of 10564 is about 21.9419959644.

Subtracting 10564 from its reverse (46501), we obtain a cube (35937 = 33³).

It can be divided in two parts, 1056 and 4, that multiplied together give a palindrome (4224).

The spelling of 10564 in words is "ten thousand, five hundred sixty-four".