205304 has 16 divisors (see below), whose sum is σ = 420120. Its totient is φ = 93280.

The previous prime is 205297. The next prime is 205307. The reversal of 205304 is 403502.

205304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205307) 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, 1079 + ... + 1254.

2²⁰⁵³⁰⁴ is an apocalyptic number.

It is an amenable number.

205304 is an abundant number, since it is smaller than the sum of its proper divisors (214816).

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

205304 is a wasteful number, since it uses less digits than its factorization.

205304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 205304 is about 453.1048443793. The cubic root of 205304 is about 58.9928172813.

Adding to 205304 its reverse (403502), we get a palindrome (608806).

The spelling of 205304 in words is "two hundred five thousand, three hundred four".