204764 has 24 divisors (see below), whose sum is σ = 419328. Its totient is φ = 85680.

The previous prime is 204751. The next prime is 204781. The reversal of 204764 is 467402.

204764 = T₇₇ + T₇₈ + ... + T₁₁₈.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 204764.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2²⁰⁴⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

204764 is an abundant number, since it is smaller than the sum of its proper divisors (214564).

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

204764 is a wasteful number, since it uses less digits than its factorization.

204764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 204764 is about 452.5085634549. The cubic root of 204764 is about 58.9410499963.

The spelling of 204764 in words is "two hundred four thousand, seven hundred sixty-four".