262564 has 12 divisors (see below), whose sum is σ = 470988. Its totient is φ = 128000.

The previous prime is 262553. The next prime is 262567. The reversal of 262564 is 465262.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 108900 = 392^2 + 330^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262567) 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, 637 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (39249).

2²⁶²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

262564 is a deficient number, since it is larger than the sum of its proper divisors (208424).

262564 is a wasteful number, since it uses less digits than its factorization.

262564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 262564 is about 512.4099920962. The cubic root of 262564 is about 64.0341614498.

The spelling of 262564 in words is "two hundred sixty-two thousand, five hundred sixty-four".