257946 has 16 divisors (see below), whose sum is σ = 555744. Its totient is φ = 79344.

The previous prime is 257921. The next prime is 257947. The reversal of 257946 is 649752.

It is a super-2 number, since 2×257946² = 133072277832, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (34734).

2²⁵⁷⁹⁴⁶ is an apocalyptic number.

257946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

257946 is an abundant number, since it is smaller than the sum of its proper divisors (297798).

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

257946 is a wasteful number, since it uses less digits than its factorization.

257946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325.

The product of its digits is 15120, while the sum is 33.

The square root of 257946 is about 507.8838449882. The cubic root of 257946 is about 63.6565258314.

The spelling of 257946 in words is "two hundred fifty-seven thousand, nine hundred forty-six".