2013564 has 24 divisors (see below), whose sum is σ = 5369728. Its totient is φ = 575280.

The previous prime is 2013553. The next prime is 2013589. The reversal of 2013564 is 4653102.

It is a happy number.

2013564 is nontrivially palindromic in base 9.

2013564 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2013564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11902 + ... + 12069.

2^2013564 is an apocalyptic number.

It is an amenable number.

2013564 is an abundant number, since it is smaller than the sum of its proper divisors (3356164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013564 is a wasteful number, since it uses less digits than its factorization.

2013564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23985 (or 23983 counting only the distinct ones).

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

The square root of 2013564 is about 1419.0010570821. The cubic root of 2013564 is about 126.2762896597.

Adding to 2013564 its reverse (4653102), we get a palindrome (6666666).

The spelling of 2013564 in words is "two million, thirteen thousand, five hundred sixty-four".