111564 has 24 divisors (see below), whose sum is σ = 289520. Its totient is φ = 37152.

The previous prime is 111539. The next prime is 111577. The reversal of 111564 is 465111.

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

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, 409 + ... + 624.

2¹¹¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

111564 is an abundant number, since it is smaller than the sum of its proper divisors (177956).

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

111564 is a wasteful number, since it uses less digits than its factorization.

111564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 111564 is about 334.0119758332. The cubic root of 111564 is about 48.1402150126.

Adding to 111564 its reverse (465111), we get a palindrome (576675).

The spelling of 111564 in words is "one hundred eleven thousand, five hundred sixty-four".