199601 has 2 divisors, whose sum is σ = 199602. Its totient is φ = 199600.

The previous prime is 199583. The next prime is 199603. The reversal of 199601 is 106991.

199601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160000 + 39601 = 400^2 + 199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-199601 is a prime.

Together with 199603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (199603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99800 + 99801.

It is an arithmetic number, because the mean of its divisors is an integer number (99801).

2¹⁹⁹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

199601 is a deficient number, since it is larger than the sum of its proper divisors (1).

199601 is an equidigital number, since it uses as much as digits as its factorization.

199601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 199601 is about 446.7672772261. The cubic root of 199601 is about 58.4414394382.

The spelling of 199601 in words is "one hundred ninety-nine thousand, six hundred one".