257704 has 8 divisors (see below), whose sum is σ = 483210. Its totient is φ = 128848.

The previous prime is 257689. The next prime is 257707. The reversal of 257704 is 407752.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 96100 = 402^2 + 310^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×257704² = 132822703232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257707) by changing a digit.

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, 16099 + ... + 16114.

2²⁵⁷⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

257704 is a deficient number, since it is larger than the sum of its proper divisors (225506).

257704 is a wasteful number, since it uses less digits than its factorization.

257704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32219 (or 32215 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 257704 is about 507.6455456320. The cubic root of 257704 is about 63.6366124913.

It can be divided in two parts, 257 and 704, that added together give a square (961 = 31²).

The spelling of 257704 in words is "two hundred fifty-seven thousand, seven hundred four".