182112 has 48 divisors (see below), whose sum is σ = 548352. Its totient is φ = 51840.

The previous prime is 182111. The next prime is 182123. The reversal of 182112 is 211281.

It is a tau number, because it is divible by the number of its divisors (48).

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 junction number, because it is equal to n+sod(n) for n = 182091 and 182100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2¹⁸²¹¹² is an apocalyptic number.

182112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176).

182112 is an abundant number, since it is smaller than the sum of its proper divisors (366240).

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

182112 is a wasteful number, since it uses less digits than its factorization.

182112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 182112 is about 426.7458259901. The cubic root of 182112 is about 56.6821334174.

Adding to 182112 its reverse (211281), we get a palindrome (393393).

The spelling of 182112 in words is "one hundred eighty-two thousand, one hundred twelve".