198252 has 18 divisors (see below), whose sum is σ = 501228. Its totient is φ = 66072.

The previous prime is 198251. The next prime is 198257. The reversal of 198252 is 252891.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (198251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2718 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (27846).

2¹⁹⁸²⁵² is an apocalyptic number.

198252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198252 is an abundant number, since it is smaller than the sum of its proper divisors (302976).

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

198252 is a wasteful number, since it uses less digits than its factorization.

198252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5512 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 198252 is about 445.2549831276. The cubic root of 198252 is about 58.3094832205.

The spelling of 198252 in words is "one hundred ninety-eight thousand, two hundred fifty-two".