257104 has 10 divisors (see below), whose sum is σ = 498170. Its totient is φ = 128544.

The previous prime is 257099. The next prime is 257107. The reversal of 257104 is 401752.

257104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 63504 = 440^2 + 252^2 .

It is a super-2 number, since 2×257104² = 132204933632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8019 + ... + 8050.

It is an arithmetic number, because the mean of its divisors is an integer number (49817).

2²⁵⁷¹⁰⁴ is an apocalyptic number.

It is an amenable number.

257104 is a deficient number, since it is larger than the sum of its proper divisors (241066).

257104 is a wasteful number, since it uses less digits than its factorization.

257104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16077 (or 16071 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 257104 is about 507.0542377300. The cubic root of 257104 is about 63.5871867441.

Adding to 257104 its reverse (401752), we get a palindrome (658856).

It can be divided in two parts, 257 and 104, that added together give a square (361 = 19²).

The spelling of 257104 in words is "two hundred fifty-seven thousand, one hundred four".