89112 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 28704.

The previous prime is 89107. The next prime is 89113. The reversal of 89112 is 21198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89113) 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 7 ways as a sum of consecutive naturals, for example, 1089 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁸⁹¹¹² 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 89112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

89112 is an abundant number, since it is smaller than the sum of its proper divisors (141288).

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

89112 is a wasteful number, since it uses less digits than its factorization.

89112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

The square root of 89112 is about 298.5163312115. The cubic root of 89112 is about 44.6661716239. Note that the first 3 decimals are identical.

It can be divided in two parts, 891 and 12, that added together give a triangular number (903 = T₄₂).

The spelling of 89112 in words is "eighty-nine thousand, one hundred twelve".