198365193 has 40 divisors (see below), whose sum is σ = 320796168. Its totient is φ = 121430016.

The previous prime is 198365159. The next prime is 198365201. The reversal of 198365193 is 391563891.

It can be written as a sum of positive squares in 4 ways, for example, as 111260304 + 87104889 = 10548^2 + 9333^2 .

It is not a de Polignac number, because 198365193 - 2⁹ = 198364681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198365113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270255 + ... + 270987.

Almost surely, 2^198365193 is an apocalyptic number.

198365193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

198365193 is a deficient number, since it is larger than the sum of its proper divisors (122430975).

198365193 is a wasteful number, since it uses less digits than its factorization.

198365193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 198365193 is about 14084.2178696582. The cubic root of 198365193 is about 583.2057847569.

It can be divided in two parts, 1983 and 65193, that added together give a palindrome (67176).

The spelling of 198365193 in words is "one hundred ninety-eight million, three hundred sixty-five thousand, one hundred ninety-three".