204564 has 12 divisors (see below), whose sum is σ = 477344. Its totient is φ = 68184.

The previous prime is 204563. The next prime is 204583. The reversal of 204564 is 465402.

It is a happy number.

204564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 204564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8512 + ... + 8535.

2²⁰⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

204564 is an abundant number, since it is smaller than the sum of its proper divisors (272780).

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

204564 is a wasteful number, since it uses less digits than its factorization.

204564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17052 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 204564 is about 452.2875191734. The cubic root of 204564 is about 58.9218538322.

Adding to 204564 its reverse (465402), we get a palindrome (669966).

The spelling of 204564 in words is "two hundred four thousand, five hundred sixty-four".