957385 has 24 divisors (see below), whose sum is σ = 1370304. Its totient is φ = 636480.

The previous prime is 957361. The next prime is 957403. The reversal of 957385 is 583759.

957385 = 290² + 291² + ... + 300².

It is not a de Polignac number, because 957385 - 2¹¹ = 955337 is a prime.

957385 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9244 + ... + 9346.

It is an arithmetic number, because the mean of its divisors is an integer number (57096).

2⁹⁵⁷³⁸⁵ is an apocalyptic number.

It is an amenable number.

957385 is a deficient number, since it is larger than the sum of its proper divisors (412919).

957385 is a wasteful number, since it uses less digits than its factorization.

957385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 957385 is about 978.4605255196. The cubic root of 957385 is about 98.5588300679.

The spelling of 957385 in words is "nine hundred fifty-seven thousand, three hundred eighty-five".