198225 has 18 divisors (see below), whose sum is σ = 355446. Its totient is φ = 105600.

The previous prime is 198223. The next prime is 198241. The reversal of 198225 is 522891.

198225 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 197136 = 33^2 + 444^2 .

It is not a de Polignac number, because 198225 - 2¹ = 198223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198221) 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 17 ways as a sum of consecutive naturals, for example, 216 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2¹⁹⁸²²⁵ is an apocalyptic number.

198225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198225 is a deficient number, since it is larger than the sum of its proper divisors (157221).

198225 is a wasteful number, since it uses less digits than its factorization.

198225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

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

The square root of 198225 is about 445.2246623897. The cubic root of 198225 is about 58.3068360383.

The spelling of 198225 in words is "one hundred ninety-eight thousand, two hundred twenty-five".