257012 has 24 divisors (see below), whose sum is σ = 525504. Its totient is φ = 107712.

The previous prime is 257003. The next prime is 257017. The reversal of 257012 is 210752.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257012.

It is not an unprimeable number, because it can be changed into a prime (257017) 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, 1808 + ... + 1944.

It is an arithmetic number, because the mean of its divisors is an integer number (21896).

2²⁵⁷⁰¹² is an apocalyptic number.

It is an amenable number.

257012 is an abundant number, since it is smaller than the sum of its proper divisors (268492).

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

257012 is a wasteful number, since it uses less digits than its factorization.

257012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 257012 is about 506.9635095350. The cubic root of 257012 is about 63.5796013323.

Adding to 257012 its reverse (210752), we get a palindrome (467764).

The spelling of 257012 in words is "two hundred fifty-seven thousand, twelve".