957901 has 12 divisors (see below), whose sum is σ = 1130652. Its totient is φ = 809088.

The previous prime is 957889. The next prime is 957917. The reversal of 957901 is 109759.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 561001 = 630^2 + 749^2 .

It is not a de Polignac number, because 957901 - 2⁷ = 957773 is a prime.

It is a Duffinian number.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5451 + ... + 5623.

It is an arithmetic number, because the mean of its divisors is an integer number (94221).

2⁹⁵⁷⁹⁰¹ is an apocalyptic number.

It is an amenable number.

957901 is a deficient number, since it is larger than the sum of its proper divisors (172751).

957901 is a wasteful number, since it uses less digits than its factorization.

957901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 957901 is about 978.7241695187. The cubic root of 957901 is about 98.5765335770.

The spelling of 957901 in words is "nine hundred fifty-seven thousand, nine hundred one".