198387225 has 45 divisors (see below), whose sum is σ = 368659533. Its totient is φ = 105468480.

The previous prime is 198387193. The next prime is 198387239. The reversal of 198387225 is 522783891.

It is a happy number.

The square root of 198387225 is 14085.

It is a perfect power (a square), and thus also a powerful number.

198387225 is digitally balanced in base 2, 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 4 ways, for example, as 111450249 + 86936976 = 10557^2 + 9324^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 198387225 - 2⁵ = 198387193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 633669 + ... + 633981.

Almost surely, 2^198387225 is an apocalyptic number.

198387225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

198387225 is the 14085-th square number.

198387225 is the 7043-rd centered octagonal number.

It is an amenable number.

198387225 is a deficient number, since it is larger than the sum of its proper divisors (170272308).

198387225 is an frugal number, since it uses more digits than its factorization.

198387225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 321 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The cubic root of 198387225 is about 583.2273757662.

The spelling of 198387225 in words is "one hundred ninety-eight million, three hundred eighty-seven thousand, two hundred twenty-five".