257204 has 6 divisors (see below), whose sum is σ = 450114. Its totient is φ = 128600.

The previous prime is 257189. The next prime is 257219. The reversal of 257204 is 402752.

It is an interprime number because it is at equal distance from previous prime (257189) and next prime (257219).

It can be written as a sum of positive squares in only one way, i.e., 204304 + 52900 = 452^2 + 230^2 .

It is a congruent number.

It is an unprimeable number.

257204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32147 + ... + 32154.

It is an arithmetic number, because the mean of its divisors is an integer number (75019).

2²⁵⁷²⁰⁴ is an apocalyptic number.

It is an amenable number.

257204 is a deficient number, since it is larger than the sum of its proper divisors (192910).

257204 is a wasteful number, since it uses less digits than its factorization.

257204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64305 (or 64303 counting only the distinct ones).

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

The square root of 257204 is about 507.1528369239. The cubic root of 257204 is about 63.5954297047.

Adding to 257204 its reverse (402752), we get a palindrome (659956).

The spelling of 257204 in words is "two hundred fifty-seven thousand, two hundred four".