198952 has 16 divisors (see below), whose sum is σ = 401940. Its totient is φ = 91776.

The previous prime is 198943. The next prime is 198953. The reversal of 198952 is 259891.

198952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 198916 + 36 = 446^2 + 6^2 .

It is not an unprimeable number, because it can be changed into a prime (198953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 853 + ... + 1060.

2¹⁹⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

198952 is an abundant number, since it is smaller than the sum of its proper divisors (202988).

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

198952 is a wasteful number, since it uses less digits than its factorization.

198952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its digits is 6480, while the sum is 34.

The square root of 198952 is about 446.0403569185. The cubic root of 198952 is about 58.3780301423.

The spelling of 198952 in words is "one hundred ninety-eight thousand, nine hundred fifty-two".