199993 has 4 divisors (see below), whose sum is σ = 204688. Its totient is φ = 195300.

The previous prime is 199967. The next prime is 199999. The reversal of 199993 is 399991.

199993 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 Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 399991 = 53 ⋅7547.

It is a cyclic number.

It is not a de Polignac number, because 199993 - 2⁵ = 199961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199999) 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, 2283 + ... + 2368.

It is an arithmetic number, because the mean of its divisors is an integer number (51172).

2¹⁹⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

199993 is a deficient number, since it is larger than the sum of its proper divisors (4695).

199993 is an equidigital number, since it uses as much as digits as its factorization.

199993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694.

The product of its digits is 19683, while the sum is 40.

The square root of 199993 is about 447.2057691936. The cubic root of 199993 is about 58.4796724855.

It can be divided in two parts, 19999 and 3, that added together give a palindrome (20002).

The spelling of 199993 in words is "one hundred ninety-nine thousand, nine hundred ninety-three".