957012 has 24 divisors (see below), whose sum is σ = 2552256. Its totient is φ = 273408.

The previous prime is 956999. The next prime is 957031. The reversal of 957012 is 210759.

957012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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 957012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5613 + ... + 5780.

It is an arithmetic number, because the mean of its divisors is an integer number (106344).

2⁹⁵⁷⁰¹² is an apocalyptic number.

It is an amenable number.

957012 is an abundant number, since it is smaller than the sum of its proper divisors (1595244).

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

957012 is a wasteful number, since it uses less digits than its factorization.

957012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11407 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 957012 is about 978.2699014076. The cubic root of 957012 is about 98.5460288023.

Adding to 957012 its sum of digits (24), we get a triangular number (957036 = T₁₃₈₃).

It can be divided in two parts, 95701 and 2, that added together give a triangular number (95703 = T₄₃₇).

The spelling of 957012 in words is "nine hundred fifty-seven thousand, twelve".