112888 has 16 divisors (see below), whose sum is σ = 215280. Its totient is φ = 55488.

The previous prime is 112877. The next prime is 112901. The reversal of 112888 is 888211.

112888 is nontrivially palindromic in base 7.

It is a nude number because it is divisible by every one of its digits.

112888 is a modest number, since divided by 888 gives 112 as remainder.

It is a plaindrome in base 10 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 756 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (13455).

2¹¹²⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

112888 is a deficient number, since it is larger than the sum of its proper divisors (102392).

112888 is a wasteful number, since it uses less digits than its factorization.

112888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its digits is 1024, while the sum is 28.

The square root of 112888 is about 335.9880950272. The cubic root of 112888 is about 48.3299033106.

It can be divided in two parts, 112 and 888, that added together give a cube (1000 = 10³).

The spelling of 112888 in words is "one hundred twelve thousand, eight hundred eighty-eight".