957000 has 128 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 224000.

The previous prime is 956999. The next prime is 957031. The reversal of 957000 is 759.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32986 + ... + 33014.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2⁹⁵⁷⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800).

957000 is an abundant number, since it is smaller than the sum of its proper divisors (2412600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

957000 is a wasteful number, since it uses less digits than its factorization.

957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 957000 is about 978.2637681116. The cubic root of 957000 is about 98.5456169101.

Adding to 957000 its reverse (759), we get a palindrome (957759).

The spelling of 957000 in words is "nine hundred fifty-seven thousand".