957663 has 24 divisors (see below), whose sum is σ = 1642368. Its totient is φ = 546264.

The previous prime is 957659. The next prime is 957701. The reversal of 957663 is 366759.

957663 = 34³ + 35³ + ... + 47³.

It is a happy number.

It is not a de Polignac number, because 957663 - 2² = 957659 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 957663.

It is not an unprimeable number, because it can be changed into a prime (957643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420 + ... + 1982.

It is an arithmetic number, because the mean of its divisors is an integer number (68432).

2⁹⁵⁷⁶⁶³ is an apocalyptic number.

957663 is a deficient number, since it is larger than the sum of its proper divisors (684705).

957663 is an equidigital number, since it uses as much as digits as its factorization.

957663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 957663 is about 978.6025751039. The cubic root of 957663 is about 98.5683687951.

The spelling of 957663 in words is "nine hundred fifty-seven thousand, six hundred sixty-three".