199939601 has 32 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 173408256.

The previous prime is 199939589. The next prime is 199939631. The reversal of 199939601 is 106939991.

It is a Cunningham number, because it is equal to 14140²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 24403600 + 175536001 = 4940^2 + 13249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-199939601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199939631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1769321 + ... + 1769433.

It is an arithmetic number, because the mean of its divisors is an integer number (7164045).

Almost surely, 2^199939601 is an apocalyptic number.

It is an amenable number.

199939601 is a deficient number, since it is larger than the sum of its proper divisors (29309839).

199939601 is a wasteful number, since it uses less digits than its factorization.

199939601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 118098, while the sum is 47.

The square root of 199939601 is about 14140.0000353607. Note that the first 4 decimals coincide. The cubic root of 199939601 is about 584.7446724664.

The spelling of 199939601 in words is "one hundred ninety-nine million, nine hundred thirty-nine thousand, six hundred one".