30564 has 24 divisors (see below), whose sum is σ = 79520. Its totient is φ = 10152.

The previous prime is 30559. The next prime is 30577. The reversal of 30564 is 46503.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

30564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 249.

2³⁰⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

30564 is an abundant number, since it is smaller than the sum of its proper divisors (48956).

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 (39760).

30564 is a wasteful number, since it uses less digits than its factorization.

30564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30564 is about 174.8256274120. The cubic root of 30564 is about 31.2658373057.

The spelling of 30564 in words is "thirty thousand, five hundred sixty-four".