199882961 has 2 divisors, whose sum is σ = 199882962. Its totient is φ = 199882960.

The previous prime is 199882937. The next prime is 199882967. The reversal of 199882961 is 169288991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183439936 + 16443025 = 13544^2 + 4055^2 .

It is a cyclic number.

It is not a de Polignac number, because 199882961 - 2⁶ = 199882897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (199882967) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99941480 + 99941481.

It is an arithmetic number, because the mean of its divisors is an integer number (99941481).

Almost surely, 2^199882961 is an apocalyptic number.

It is an amenable number.

199882961 is a deficient number, since it is larger than the sum of its proper divisors (1).

199882961 is an equidigital number, since it uses as much as digits as its factorization.

199882961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 559872, while the sum is 53.

The square root of 199882961 is about 14137.9970646482. The cubic root of 199882961 is about 584.6894506793.

The spelling of 199882961 in words is "one hundred ninety-nine million, eight hundred eighty-two thousand, nine hundred sixty-one".