42564 has 12 divisors (see below), whose sum is σ = 99344. Its totient is φ = 14184.

The previous prime is 42557. The next prime is 42569. The reversal of 42564 is 46524.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 42564.

It is not an unprimeable number, because it can be changed into a prime (42569) by changing a digit.

42564 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 3 ways as a sum of consecutive naturals, for example, 1762 + ... + 1785.

2⁴²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

42564 is an abundant number, since it is smaller than the sum of its proper divisors (56780).

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 (49672).

42564 is a wasteful number, since it uses less digits than its factorization.

42564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3552 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 42564 is about 206.3104456880. The cubic root of 42564 is about 34.9151687058.

It can be divided in two parts, 42 and 564, that added together give a palindrome (606).

The spelling of 42564 in words is "forty-two thousand, five hundred sixty-four".