8564 has 6 divisors (see below), whose sum is σ = 14994. Its totient is φ = 4280.

The previous prime is 8563. The next prime is 8573. The reversal of 8564 is 4658.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 100 = 92^2 + 10^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (2499).

It is an amenable number.

8564 is a deficient number, since it is larger than the sum of its proper divisors (6430).

8564 is a wasteful number, since it uses less digits than its factorization.

8564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2143 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 8564 is about 92.5418824101. The cubic root of 8564 is about 20.4593682605.

The spelling of 8564 in words is "eight thousand, five hundred sixty-four".