199993931 has 2 divisors, whose sum is σ = 199993932. Its totient is φ = 199993930.

The previous prime is 199993897. The next prime is 199993949. The reversal of 199993931 is 139399991.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 199993931 - 2¹⁰ = 199992907 is a prime.

It is a super-2 number, since 2×199993931² = 79995144873665522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (199993961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99996965 + 99996966.

It is an arithmetic number, because the mean of its divisors is an integer number (99996966).

Almost surely, 2^199993931 is an apocalyptic number.

199993931 is a deficient number, since it is larger than the sum of its proper divisors (1).

199993931 is an equidigital number, since it uses as much as digits as its factorization.

199993931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 531441, while the sum is 53.

The square root of 199993931 is about 14141.9210505504. The cubic root of 199993931 is about 584.7976322949.

The spelling of 199993931 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, nine hundred thirty-one".