198025 has 9 divisors (see below), whose sum is σ = 248341. Its totient is φ = 156640.

The previous prime is 198017. The next prime is 198031. The reversal of 198025 is 520891.

198025 = T₄₄₄ + T₄₄₅.

The square root of 198025 is 445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41209 + 156816 = 203^2 + 396^2 .

It is not a de Polignac number, because 198025 - 2³ = 198017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2181 + ... + 2269.

198025 is a Friedman number, since it can be written as (89*5)^(2*(1+0)), using all its digits and the basic arithmetic operations.

2¹⁹⁸⁰²⁵ is an apocalyptic number.

198025 is the 445-th square number.

198025 is the 223-rd centered octagonal number.

It is an amenable number.

198025 is a deficient number, since it is larger than the sum of its proper divisors (50316).

198025 is an frugal number, since it uses more digits than its factorization.

198025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The cubic root of 198025 is about 58.2872197919.

Multiplying 198025 by its sum of digits (25), we get a square (4950625 = 2225²).

198025 divided by its sum of digits (25) gives a square (7921 = 89²).

The spelling of 198025 in words is "one hundred ninety-eight thousand, twenty-five".