198305 has 8 divisors (see below), whose sum is σ = 252072. Its totient is φ = 149248.

The previous prime is 198301. The next prime is 198313. The reversal of 198305 is 503891.

It can be written as a sum of positive squares in 4 ways, for example, as 28561 + 169744 = 169^2 + 412^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198305 - 2² = 198301 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198301) 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 7 ways as a sum of consecutive naturals, for example, 1082 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (31509).

2¹⁹⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

198305 is a deficient number, since it is larger than the sum of its proper divisors (53767).

198305 is a wasteful number, since it uses less digits than its factorization.

198305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 198305 is about 445.3144956096. The cubic root of 198305 is about 58.3146788423.

The spelling of 198305 in words is "one hundred ninety-eight thousand, three hundred five".