198112 has 24 divisors (see below), whose sum is σ = 402192. Its totient is φ = 96000.

The previous prime is 198109. The next prime is 198127. The reversal of 198112 is 211891.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1237 + ... + 1387.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2¹⁹⁸¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

198112 is an abundant number, since it is smaller than the sum of its proper divisors (204080).

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

198112 is a wasteful number, since it uses less digits than its factorization.

198112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 144, while the sum is 22.

The square root of 198112 is about 445.0977420747. The cubic root of 198112 is about 58.2957544814.

The spelling of 198112 in words is "one hundred ninety-eight thousand, one hundred twelve".