112884 has 24 divisors (see below), whose sum is σ = 275520. Its totient is φ = 35904.

The previous prime is 112877. The next prime is 112901. The reversal of 112884 is 488211.

112884 = T₁₆ + T₁₇ + ... + T₈₇.

112884 is nontrivially palindromic in base 14.

It is a congruent number.

It is an unprimeable number.

112884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (11480).

2¹¹²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137760).

112884 is an abundant number, since it is smaller than the sum of its proper divisors (162636).

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

112884 is a wasteful number, since it uses less digits than its factorization.

112884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 112884 is about 335.9821423826. The cubic root of 112884 is about 48.3293324737.

The spelling of 112884 in words is "one hundred twelve thousand, eight hundred eighty-four".