198563 has 8 divisors (see below), whose sum is σ = 211680. Its totient is φ = 185920.

The previous prime is 198553. The next prime is 198571. The reversal of 198563 is 365891.

198563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 198563 - 2¹⁰ = 197539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1106 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2¹⁹⁸⁵⁶³ is an apocalyptic number.

198563 is a deficient number, since it is larger than the sum of its proper divisors (13117).

198563 is a wasteful number, since it uses less digits than its factorization.

198563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237.

The product of its digits is 6480, while the sum is 32.

The square root of 198563 is about 445.6040843619. The cubic root of 198563 is about 58.3399575244.

It can be divided in two parts, 1985 and 63, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 198563 in words is "one hundred ninety-eight thousand, five hundred sixty-three".