96957 has 28 divisors (see below), whose sum is σ = 174880. Its totient is φ = 52488.

The previous prime is 96953. The next prime is 96959. The reversal of 96957 is 75969.

96957 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 96957 - 2² = 96953 is a prime.

It is a Duffinian number.

96957 is a lucky number.

It is a plaindrome in base 16.

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 96957.

It is not an unprimeable number, because it can be changed into a prime (96953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5094 + ... + 5112.

2⁹⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

96957 is a deficient number, since it is larger than the sum of its proper divisors (77923).

96957 is an equidigital number, since it uses as much as digits as its factorization.

96957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 96957 is about 311.3791900561. The cubic root of 96957 is about 45.9402184980.

The spelling of 96957 in words is "ninety-six thousand, nine hundred fifty-seven".