205204 has 18 divisors (see below), whose sum is σ = 378014. Its totient is φ = 97440.

The previous prime is 205201. The next prime is 205211. The reversal of 205204 is 402502.

It is a happy number.

205204 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 3 ways, for example, as 2704 + 202500 = 52^2 + 450^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3334 + ... + 3394.

2²⁰⁵²⁰⁴ is an apocalyptic number.

It is an amenable number.

205204 is a deficient number, since it is larger than the sum of its proper divisors (172810).

205204 is a wasteful number, since it uses less digits than its factorization.

205204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 205204 is about 452.9944812026. The cubic root of 205204 is about 58.9832376014.

Adding to 205204 its reverse (402502), we get a palindrome (607706).

The spelling of 205204 in words is "two hundred five thousand, two hundred four".