84112 has 20 divisors (see below), whose sum is σ = 186496. Its totient is φ = 36000.

The previous prime is 84089. The next prime is 84121. The reversal of 84112 is 21148.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is an unprimeable number.

84112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 264 + ... + 487.

2⁸⁴¹¹² is an apocalyptic number.

It is an amenable number.

84112 is an abundant number, since it is smaller than the sum of its proper divisors (102384).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93248).

84112 is a wasteful number, since it uses less digits than its factorization.

84112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 84112 is about 290.0206889172. The cubic root of 84112 is about 43.8146472839.

Subtracting from 84112 its product of digits (64), we obtain a palindrome (84048).

It can be divided in two parts, 84 and 112, that added together give a square (196 = 14²).

The spelling of 84112 in words is "eighty-four thousand, one hundred twelve".