199893 has 8 divisors (see below), whose sum is σ = 278208. Its totient is φ = 127424.

The previous prime is 199889. The next prime is 199909. The reversal of 199893 is 398991.

199893 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 199893 - 2² = 199889 is a prime.

It is a super-2 number, since 2×199893² = 79914422898, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199813) 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, 1380 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (34776).

2¹⁹⁹⁸⁹³ is an apocalyptic number.

It is an amenable number.

199893 is a deficient number, since it is larger than the sum of its proper divisors (78315).

199893 is a wasteful number, since it uses less digits than its factorization.

199893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923.

The product of its digits is 17496, while the sum is 39.

The square root of 199893 is about 447.0939498584. The cubic root of 199893 is about 58.4699239073.

The spelling of 199893 in words is "one hundred ninety-nine thousand, eight hundred ninety-three".