957996 has 72 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 278784.

The previous prime is 957991. The next prime is 958007. The reversal of 957996 is 699759.

Its product of digits (153090) is a multiple of the sum of its prime factors (135).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957996.

It is not an unprimeable number, because it can be changed into a prime (957991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10720 + ... + 10808.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁹⁵⁷⁹⁹⁶ 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 957996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

957996 is an abundant number, since it is smaller than the sum of its proper divisors (1793844).

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

957996 is a wasteful number, since it uses less digits than its factorization.

957996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 957996 is about 978.7727008862. The cubic root of 957996 is about 98.5797922510.

It can be divided in two parts, 957 and 996, that added together give a triangular number (1953 = T₆₂).

The spelling of 957996 in words is "nine hundred fifty-seven thousand, nine hundred ninety-six".