9656 has 16 divisors (see below), whose sum is σ = 19440. Its totient is φ = 4480.

The previous prime is 9649. The next prime is 9661. The reversal of 9656 is 6569.

9656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1620) is a multiple of the sum of its prime divisors (90).

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 9656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

2⁹⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

9656 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 (9720).

9656 is a wasteful number, since it uses less digits than its factorization.

9656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 90 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 9656 is about 98.2649479723. The cubic root of 9656 is about 21.2944168987.

The spelling of 9656 in words is "nine thousand, six hundred fifty-six".