99564 has 12 divisors (see below), whose sum is σ = 232344. Its totient is φ = 33184.

The previous prime is 99563. The next prime is 99571. The reversal of 99564 is 46599.

It is a happy number.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99564.

It is not an unprimeable number, because it can be changed into a prime (99563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4137 + ... + 4160.

It is an arithmetic number, because the mean of its divisors is an integer number (19362).

2⁹⁹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

99564 is an abundant number, since it is smaller than the sum of its proper divisors (132780).

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 (116172).

99564 is a wasteful number, since it uses less digits than its factorization.

99564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8302 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 99564 is about 315.5376364239. The cubic root of 99564 is about 46.3483323016.

The spelling of 99564 in words is "ninety-nine thousand, five hundred sixty-four".