199563 has 32 divisors (see below), whose sum is σ = 354816. Its totient is φ = 96768.

The previous prime is 199559. The next prime is 199567. The reversal of 199563 is 365991.

199563 is nontrivially palindromic in base 15.

199563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199559) and next prime (199567).

It is not a de Polignac number, because 199563 - 2² = 199559 is a prime.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4620 + ... + 4662.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

199563 is a Friedman number, since it can be written as 91*(6+9*3^5), using all its digits and the basic arithmetic operations.

2¹⁹⁹⁵⁶³ is an apocalyptic number.

199563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

199563 is a deficient number, since it is larger than the sum of its proper divisors (155253).

199563 is a wasteful number, since it uses less digits than its factorization.

199563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 7290, while the sum is 33.

The square root of 199563 is about 446.7247474676. The cubic root of 199563 is about 58.4377305128.

The spelling of 199563 in words is "one hundred ninety-nine thousand, five hundred sixty-three".