957158961 has 16 divisors (see below), whose sum is σ = 1452764160. Its totient is φ = 554874320.

The previous prime is 957158933. The next prime is 957158987. The reversal of 957158961 is 169851759.

It is not a de Polignac number, because 957158961 - 2¹⁵ = 957126193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (957138961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629781 + ... + 631298.

It is an arithmetic number, because the mean of its divisors is an integer number (90797760).

Almost surely, 2^957158961 is an apocalyptic number.

It is an amenable number.

957158961 is a deficient number, since it is larger than the sum of its proper divisors (495605199).

957158961 is a wasteful number, since it uses less digits than its factorization.

957158961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261116.

The product of its digits is 680400, while the sum is 51.

The square root of 957158961 is about 30937.9857295203. The cubic root of 957158961 is about 985.5107286363.

The spelling of 957158961 in words is "nine hundred fifty-seven million, one hundred fifty-eight thousand, nine hundred sixty-one".