204257 has 4 divisors (see below), whose sum is σ = 205716. Its totient is φ = 202800.

The previous prime is 204251. The next prime is 204299. The reversal of 204257 is 752402.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 185761 = 136^2 + 431^2 .

It is a cyclic number.

It is not a de Polignac number, because 204257 - 2¹⁰ = 203233 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 204257.

It is not an unprimeable number, because it can be changed into a prime (204251) 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, 494 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (51429).

2²⁰⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

204257 is a deficient number, since it is larger than the sum of its proper divisors (1459).

204257 is a wasteful number, since it uses less digits than its factorization.

204257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458.

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 204257 is about 451.9480058591. The cubic root of 204257 is about 58.8923633618.

Adding to 204257 its reverse (752402), we get a palindrome (956659).

The spelling of 204257 in words is "two hundred four thousand, two hundred fifty-seven".