957966 has 16 divisors (see below), whose sum is σ = 1945344. Its totient is φ = 314424.

The previous prime is 957959. The next prime is 957977. The reversal of 957966 is 669759.

957966 = 85² + 86² + ... + 151².

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957966.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (121584).

2⁹⁵⁷⁹⁶⁶ is an apocalyptic number.

957966 is an abundant number, since it is smaller than the sum of its proper divisors (987378).

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

957966 is a wasteful number, since it uses less digits than its factorization.

957966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455.

The product of its digits is 102060, while the sum is 42.

The square root of 957966 is about 978.7573754511. The cubic root of 957966 is about 98.5787632193.

It can be divided in two parts, 9 and 57966, that added together give a palindrome (57975).

The spelling of 957966 in words is "nine hundred fifty-seven thousand, nine hundred sixty-six".