83112 has 16 divisors (see below), whose sum is σ = 207840. Its totient is φ = 27696.

The previous prime is 83101. The next prime is 83117. The reversal of 83112 is 21138.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 83091 and 83100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83112.

It is not an unprimeable number, because it can be changed into a prime (83117) by changing a digit.

83112 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 3 ways as a sum of consecutive naturals, for example, 1708 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (12990).

2⁸³¹¹² is an apocalyptic number.

It is an amenable number.

83112 is an abundant number, since it is smaller than the sum of its proper divisors (124728).

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 (103920).

83112 is a wasteful number, since it uses less digits than its factorization.

83112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3468 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 83112 is about 288.2915191260. The cubic root of 83112 is about 43.6403184547.

The spelling of 83112 in words is "eighty-three thousand, one hundred twelve".