257648 has 10 divisors (see below), whose sum is σ = 499224. Its totient is φ = 128816.

The previous prime is 257639. The next prime is 257657. The reversal of 257648 is 846752.

It is an interprime number because it is at equal distance from previous prime (257639) and next prime (257657).

It is a congruent number.

It is an unprimeable number.

257648 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, 8036 + ... + 8067.

2²⁵⁷⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

257648 is a deficient number, since it is larger than the sum of its proper divisors (241576).

257648 is a wasteful number, since it uses less digits than its factorization.

257648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16111 (or 16105 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 257648 is about 507.5903860398. The cubic root of 257648 is about 63.6320026696.

The spelling of 257648 in words is "two hundred fifty-seven thousand, six hundred forty-eight".