82112 has 14 divisors (see below), whose sum is σ = 163068. Its totient is φ = 41024.

The previous prime is 82073. The next prime is 82129. The reversal of 82112 is 21128.

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 an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 82112.

It is an unprimeable number.

82112 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 as a sum of consecutive naturals, namely, 578 + ... + 705.

2^{82112} is an apocalyptic number.

It is an amenable number.

82112 is a deficient number, since it is larger than the sum of its proper divisors (80956).

82112 is a wasteful number, since it uses less digits than its factorization.

82112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 82112 is about 286.5519150172. The cubic root of 82112 is about 43.4645856122.

The spelling of 82112 in words is "eighty-two thousand, one hundred twelve".

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