957066 has 32 divisors (see below), whose sum is σ = 2213568. Its totient is φ = 272640.

The previous prime is 957059. The next prime is 957071. The reversal of 957066 is 660759.

957066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is an unprimeable number.

957066 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 15 ways as a sum of consecutive naturals, for example, 696 + ... + 1548.

It is an arithmetic number, because the mean of its divisors is an integer number (69174).

2⁹⁵⁷⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106784).

957066 is an abundant number, since it is smaller than the sum of its proper divisors (1256502).

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

957066 is a wasteful number, since it uses less digits than its factorization.

957066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 957066 is about 978.2975007634. The cubic root of 957066 is about 98.5478822745.

It can be divided in two parts, 9 and 57066, that added together give a palindrome (57075).

The spelling of 957066 in words is "nine hundred fifty-seven thousand, sixty-six".