198925 has 12 divisors (see below), whose sum is σ = 252340. Its totient is φ = 155520.

The previous prime is 198901. The next prime is 198929. The reversal of 198925 is 529891.

It can be written as a sum of positive squares in 6 ways, for example, as 9 + 198916 = 3^2 + 446^2 .

It is not a de Polignac number, because 198925 - 2⁹ = 198413 is a prime.

198925 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198929) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1771 + ... + 1879.

198925 is a Friedman number, since it can be written as 9+(89*5+1)^2, using all its digits and the basic arithmetic operations.

2¹⁹⁸⁹²⁵ is an apocalyptic number.

It is an amenable number.

198925 is a deficient number, since it is larger than the sum of its proper divisors (53415).

198925 is a wasteful number, since it uses less digits than its factorization.

198925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

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

The square root of 198925 is about 446.0100895720. The cubic root of 198925 is about 58.3753891734.

Subtracting from 198925 its sum of digits (34), we obtain a palindrome (198891).

The spelling of 198925 in words is "one hundred ninety-eight thousand, nine hundred twenty-five".