6564 has 12 divisors (see below), whose sum is σ = 15344. Its totient is φ = 2184.

The previous prime is 6563. The next prime is 6569. The reversal of 6564 is 4656.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 6564.

It is not an unprimeable number, because it can be changed into a prime (6563) 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, 262 + ... + 285.

2⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

6564 is an abundant number, since it is smaller than the sum of its proper divisors (8780).

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 (7672).

6564 is a wasteful number, since it uses less digits than its factorization.

6564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 552 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 6564 is about 81.0185164021. The cubic root of 6564 is about 18.7236073113.

The spelling of 6564 in words is "six thousand, five hundred sixty-four".