234564 has 24 divisors (see below), whose sum is σ = 597408. Its totient is φ = 71040.

The previous prime is 234547. The next prime is 234571. The reversal of 234564 is 465432.

234564 = T₄₂ + T₄₃ + ... + T₁₁₃.

It is an unprimeable number.

234564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (24892).

2²³⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

234564 is an abundant number, since it is smaller than the sum of its proper divisors (362844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234564 is a wasteful number, since it uses less digits than its factorization.

234564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1793 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 234564 is about 484.3180773004. The cubic root of 234564 is about 61.6718703506.

Adding to 234564 its reverse (465432), we get a palindrome (699996).

The spelling of 234564 in words is "two hundred thirty-four thousand, five hundred sixty-four".