204057 has 24 divisors (see below), whose sum is σ = 349440. Its totient is φ = 112320.

The previous prime is 204047. The next prime is 204059. The reversal of 204057 is 750402.

It is a happy number.

204057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204057 - 2¹² = 199961 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 204057.

It is not an unprimeable number, because it can be changed into a prime (204059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2544 + ... + 2622.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2²⁰⁴⁰⁵⁷ is an apocalyptic number.

204057 is the 369-th pentagonal number.

It is an amenable number.

204057 is a deficient number, since it is larger than the sum of its proper divisors (145383).

204057 is a wasteful number, since it uses less digits than its factorization.

204057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 204057 is about 451.7266872789. The cubic root of 204057 is about 58.8731354299.

Adding to 204057 its reverse (750402), we get a palindrome (954459).

The spelling of 204057 in words is "two hundred four thousand, fifty-seven".