257948 has 12 divisors (see below), whose sum is σ = 459480. Its totient is φ = 126672.

The previous prime is 257947. The next prime is 257953. The reversal of 257948 is 849752.

It is a happy number.

It is a plaindrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (38290).

2²⁵⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

257948 is a deficient number, since it is larger than the sum of its proper divisors (201532).

257948 is a wasteful number, since it uses less digits than its factorization.

257948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 257948 is about 507.8858139385. The cubic root of 257948 is about 63.6566903526.

The spelling of 257948 in words is "two hundred fifty-seven thousand, nine hundred forty-eight".