957712 has 40 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 385536.

The previous prime is 957709. The next prime is 957721. The reversal of 957712 is 217759.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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, 1653 + ... + 2155.

2⁹⁵⁷⁷¹² 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 957712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

957712 is an abundant number, since it is smaller than the sum of its proper divisors (1292144).

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

957712 is a wasteful number, since it uses less digits than its factorization.

957712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its digits is 4410, while the sum is 31.

The square root of 957712 is about 978.6276104832. The cubic root of 957712 is about 98.5700498902.

The spelling of 957712 in words is "nine hundred fifty-seven thousand, seven hundred twelve".