199903 has 8 divisors (see below), whose sum is σ = 231120. Its totient is φ = 170880.

The previous prime is 199889. The next prime is 199909. The reversal of 199903 is 309991.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-199903 is a prime.

It is a super-2 number, since 2×199903² = 79922418818, which contains 22 as substring.

It is a Duffinian number.

199903 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 721.

It is an arithmetic number, because the mean of its divisors is an integer number (28890).

2¹⁹⁹⁹⁰³ is an apocalyptic number.

199903 is a deficient number, since it is larger than the sum of its proper divisors (31217).

199903 is a wasteful number, since it uses less digits than its factorization.

199903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 199903 is about 447.1051330504. The cubic root of 199903 is about 58.4708989114.

The spelling of 199903 in words is "one hundred ninety-nine thousand, nine hundred three".