198205 has 12 divisors (see below), whose sum is σ = 277020. Its totient is φ = 135744.

The previous prime is 198197. The next prime is 198221. The reversal of 198205 is 502891.

198205 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 2 ways, for example, as 127449 + 70756 = 357^2 + 266^2 .

It is not a de Polignac number, because 198205 - 2³ = 198197 is a prime.

198205 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 198205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2¹⁹⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

198205 is a deficient number, since it is larger than the sum of its proper divisors (78815).

198205 is an equidigital number, since it uses as much as digits as its factorization.

198205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 821 counting only the distinct ones).

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

The square root of 198205 is about 445.2022012524. The cubic root of 198205 is about 58.3048750076.

The spelling of 198205 in words is "one hundred ninety-eight thousand, two hundred five".