8112 has 30 divisors (see below), whose sum is σ = 22692. Its totient is φ = 2496.

The previous prime is 8111. The next prime is 8117. The reversal of 8112 is 2118.

It is a happy number.

8112 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (8111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 618 + ... + 630.

2⁸¹¹² 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 8112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346).

8112 is an abundant number, since it is smaller than the sum of its proper divisors (14580).

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

8112 is a wasteful number, since it uses less digits than its factorization.

8112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 18 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 8112 is about 90.0666419936. The cubic root of 8112 is about 20.0929011341.

Subtracting from 8112 its sum of digits (12), we obtain a square (8100 = 90²).

Multiplying 8112 by its sum of digits (12), we get a square (97344 = 312²).

8112 divided by its sum of digits (12) gives a palindrome (676).

Adding to 8112 its product of digits (16), we get a triangular number (8128 = T₁₂₇).

It can be divided in two parts, 8 and 112, that added together give a triangular number (120 = T₁₅).

The spelling of 8112 in words is "eight thousand, one hundred twelve".