9564 has 12 divisors (see below), whose sum is σ = 22344. Its totient is φ = 3184.

The previous prime is 9551. The next prime is 9587. The reversal of 9564 is 4659.

9564 = 31² + 32² + ... + 38².

9564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is an unprimeable number.

9564 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 387 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (1862).

2⁹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

9564 is an abundant number, since it is smaller than the sum of its proper divisors (12780).

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 (11172).

9564 is a wasteful number, since it uses less digits than its factorization.

9564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 802 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 9564 is about 97.7957054272. The cubic root of 9564 is about 21.2265716420.

The spelling of 9564 in words is "nine thousand, five hundred sixty-four".