957948 has 12 divisors (see below), whose sum is σ = 2235240. Its totient is φ = 319312.

The previous prime is 957937. The next prime is 957949. The reversal of 957948 is 849759.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957949) by changing a digit.

957948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39903 + ... + 39926.

It is an arithmetic number, because the mean of its divisors is an integer number (186270).

2⁹⁵⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

957948 is an abundant number, since it is smaller than the sum of its proper divisors (1277292).

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

957948 is a wasteful number, since it uses less digits than its factorization.

957948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79836 (or 79834 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 957948 is about 978.7481800749. The cubic root of 957948 is about 98.5781457900.

The spelling of 957948 in words is "nine hundred fifty-seven thousand, nine hundred forty-eight".