96964 has 12 divisors (see below), whose sum is σ = 193984. Its totient is φ = 41544.

The previous prime is 96959. The next prime is 96973. The reversal of 96964 is 46969.

96964 is an admirable number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1704 + ... + 1759.

2⁹⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

96964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96992).

96964 is a wasteful number, since it uses less digits than its factorization.

96964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3472 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 96964 is about 311.3904301677. The cubic root of 96964 is about 45.9413240527.

The spelling of 96964 in words is "ninety-six thousand, nine hundred sixty-four".