111656 has 16 divisors (see below), whose sum is σ = 221940. Its totient is φ = 52480.

The previous prime is 111653. The next prime is 111659. The reversal of 111656 is 656111.

It is a happy number.

111656 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (111653) and next prime (111659).

It can be written as a sum of positive squares in 2 ways, for example, as 111556 + 100 = 334^2 + 10^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111656.

It is not an unprimeable number, because it can be changed into a prime (111653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 546.

2¹¹¹⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

111656 is a deficient number, since it is larger than the sum of its proper divisors (110284).

111656 is a wasteful number, since it uses less digits than its factorization.

111656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 111656 is about 334.1496670655. The cubic root of 111656 is about 48.1534441395.

Adding to 111656 its reverse (656111), we get a palindrome (767767).

It can be divided in two parts, 111 and 656, that added together give a palindrome (767).

The spelling of 111656 in words is "one hundred eleven thousand, six hundred fifty-six".