257936 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 108192.

The previous prime is 257921. The next prime is 257947. The reversal of 257936 is 639752.

It is a d-powerful number, because it can be written as 2⁹ + 5⁵ + 9⁵ + 7⁵ + 3¹¹ + 6⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257936.

It is an unprimeable number.

257936 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 in 7 ways as a sum of consecutive naturals, for example, 5465 + ... + 5511.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁵⁷⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

257936 is an abundant number, since it is smaller than the sum of its proper divisors (337264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257936 is an equidigital number, since it uses as much as digits as its factorization.

257936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 257936 is about 507.8740001221. The cubic root of 257936 is about 63.6557032129.

The spelling of 257936 in words is "two hundred fifty-seven thousand, nine hundred thirty-six".