199963 has 4 divisors (see below), whose sum is σ = 200880. Its totient is φ = 199048.

The previous prime is 199961. The next prime is 199967. The reversal of 199963 is 369991.

199963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 199963 - 2¹ = 199961 is a prime.

It is a Duffinian number.

199963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (199961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 637.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2¹⁹⁹⁹⁶³ is an apocalyptic number.

199963 is a deficient number, since it is larger than the sum of its proper divisors (917).

199963 is an equidigital number, since it uses as much as digits as its factorization.

199963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916.

The product of its digits is 13122, while the sum is 37.

The square root of 199963 is about 447.1722263290. The cubic root of 199963 is about 58.4767482533.

The spelling of 199963 in words is "one hundred ninety-nine thousand, nine hundred sixty-three".