957950 has 72 divisors (see below), whose sum is σ = 2290032. Its totient is φ = 295680.

The previous prime is 957949. The next prime is 957953. The reversal of 957950 is 59759.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 957950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41639 + ... + 41661.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2⁹⁵⁷⁹⁵⁰ is an apocalyptic number.

957950 is an abundant number, since it is smaller than the sum of its proper divisors (1332082).

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

957950 is a wasteful number, since it uses less digits than its factorization.

957950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 35.

The square root of 957950 is about 978.7492017877. The cubic root of 957950 is about 98.5782143937.

The spelling of 957950 in words is "nine hundred fifty-seven thousand, nine hundred fifty".