957975 has 24 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 499200.

The previous prime is 957959. The next prime is 957977. The reversal of 957975 is 579759.

It is a happy number.

It is not a de Polignac number, because 957975 - 2⁴ = 957959 is a prime.

It is a super-2 number, since 2×957975² = 1835432201250, which contains 22 as substring.

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 957975.

It is not an unprimeable number, because it can be changed into a prime (957977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3855 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

2⁹⁵⁷⁹⁷⁵ is an apocalyptic number.

957975 is a deficient number, since it is larger than the sum of its proper divisors (662457).

957975 is a wasteful number, since it uses less digits than its factorization.

957975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 302 counting only the distinct ones).

The product of its digits is 99225, while the sum is 42.

The square root of 957975 is about 978.7619731068. The cubic root of 957975 is about 98.5790719311.

The spelling of 957975 in words is "nine hundred fifty-seven thousand, nine hundred seventy-five".