4564 has 12 divisors (see below), whose sum is σ = 9184. Its totient is φ = 1944.

The previous prime is 4561. The next prime is 4567. The reversal of 4564 is 4654.

4564 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (4561) and next prime (4567).

4564 is an admirable number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561) 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, 54 + ... + 109.

It is an amenable number.

4564 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 (4592).

4564 is a wasteful number, since it uses less digits than its factorization.

4564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 4564 is about 67.5573830162. The cubic root of 4564 is about 16.5875360060.

The spelling of 4564 in words is "four thousand, five hundred sixty-four".