18112 has 14 divisors (see below), whose sum is σ = 36068. Its totient is φ = 9024.

The previous prime is 18097. The next prime is 18119. The reversal of 18112 is 21181.

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 plaindrome in base 15.

It is a nialpdrome in base 8.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 18092 and 18101.

It is not an unprimeable number, because it can be changed into a prime (18119) by changing a digit.

18112 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 as a sum of consecutive naturals, namely, 78 + ... + 205.

2¹⁸¹¹² is an apocalyptic number.

It is an amenable number.

18112 is a deficient number, since it is larger than the sum of its proper divisors (17956).

18112 is an equidigital number, since it uses as much as digits as its factorization.

18112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its digits is 16, while the sum is 13.

The square root of 18112 is about 134.5808307301. The cubic root of 18112 is about 26.2616577094.

Adding to 18112 its reverse (21181), we get a palindrome (39293).

It can be divided in two parts, 18 and 112, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 18112 in words is "eighteen thousand, one hundred twelve".