957291921 has 12 divisors (see below), whose sum is σ = 1398292740. Its totient is φ = 631023360.

The previous prime is 957291919. The next prime is 957291941. The reversal of 957291921 is 129192759.

957291921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 393466896 + 563825025 = 19836^2 + 23745^2 .

It is not a de Polignac number, because 957291921 - 2¹ = 957291919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (957291941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596760 + ... + 598361.

It is an arithmetic number, because the mean of its divisors is an integer number (116524395).

Almost surely, 2^957291921 is an apocalyptic number.

It is an amenable number.

957291921 is a deficient number, since it is larger than the sum of its proper divisors (441000819).

957291921 is a wasteful number, since it uses less digits than its factorization.

957291921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195216 (or 1195213 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 957291921 is about 30940.1344696496. The cubic root of 957291921 is about 985.5563593152.

The spelling of 957291921 in words is "nine hundred fifty-seven million, two hundred ninety-one thousand, nine hundred twenty-one".