112564 has 12 divisors (see below), whose sum is σ = 199584. Its totient is φ = 55544.

The previous prime is 112559. The next prime is 112571. The reversal of 112564 is 465211.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

112564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2¹¹²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

112564 is a deficient number, since it is larger than the sum of its proper divisors (87020).

112564 is a wasteful number, since it uses less digits than its factorization.

112564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 112564 is about 335.5055886271. The cubic root of 112564 is about 48.2836217646.

Adding to 112564 its reverse (465211), we get a palindrome (577775).

It can be divided in two parts, 112 and 564, that added together give a palindrome (676).

The spelling of 112564 in words is "one hundred twelve thousand, five hundred sixty-four".