199933 has 2 divisors, whose sum is σ = 199934. Its totient is φ = 199932.

The previous prime is 199931. The next prime is 199961. The reversal of 199933 is 339991.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120409 + 79524 = 347^2 + 282^2 .

It is an emirp because it is prime and its reverse (339991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199933 - 2¹ = 199931 is a prime.

Together with 199931, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (199931) 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 as a sum of consecutive naturals, namely, 99966 + 99967.

It is an arithmetic number, because the mean of its divisors is an integer number (99967).

2¹⁹⁹⁹³³ is an apocalyptic number.

It is an amenable number.

199933 is a deficient number, since it is larger than the sum of its proper divisors (1).

199933 is an equidigital number, since it uses as much as digits as its factorization.

199933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6561, while the sum is 34.

The square root of 199933 is about 447.1386809481. The cubic root of 199933 is about 58.4738237286.

The spelling of 199933 in words is "one hundred ninety-nine thousand, nine hundred thirty-three".