257392 has 10 divisors (see below), whose sum is σ = 498728. Its totient is φ = 128688.

The previous prime is 257381. The next prime is 257399. The reversal of 257392 is 293752.

It is a d-powerful number, because it can be written as 2⁹ + 5⁷ + 3¹⁰ + 7⁶ + 9 + 2¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 257392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257399) by changing a digit.

257392 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, 8028 + ... + 8059.

257392 is a Friedman number, since it can be written as 7^3+(2^9-5)^2, using all its digits and the basic arithmetic operations.

2²⁵⁷³⁹² is an apocalyptic number.

It is an amenable number.

257392 is a deficient number, since it is larger than the sum of its proper divisors (241336).

257392 is a wasteful number, since it uses less digits than its factorization.

257392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16095 (or 16089 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 257392 is about 507.3381515321. The cubic root of 257392 is about 63.6109206884.

The spelling of 257392 in words is "two hundred fifty-seven thousand, three hundred ninety-two".