232564 has 12 divisors (see below), whose sum is σ = 415044. Its totient is φ = 113984.

The previous prime is 232549. The next prime is 232567. The reversal of 232564 is 465232.

232564 = T₃₃₉ + T₃₄₀ + ... + T₃₄₂.

It is a happy number.

232564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 115600 = 342^2 + 340^2 .

It is a d-powerful number, because it can be written as 2¹⁵ + 3³ + 5⁵ + 2¹⁷ + 6² + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232567) by changing a digit.

232564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 337 + ... + 760.

It is an arithmetic number, because the mean of its divisors is an integer number (34587).

2²³²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

232564 is a deficient number, since it is larger than the sum of its proper divisors (182480).

232564 is a wasteful number, since it uses less digits than its factorization.

232564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1152 counting only the distinct ones).

The product of its digits is 1440, while the sum is 22.

The square root of 232564 is about 482.2488983917. The cubic root of 232564 is about 61.4960889398.

Adding to 232564 its reverse (465232), we get a palindrome (697796).

The spelling of 232564 in words is "two hundred thirty-two thousand, five hundred sixty-four".