199361 has 8 divisors (see below), whose sum is σ = 211200. Its totient is φ = 187920.

The previous prime is 199357. The next prime is 199373. The reversal of 199361 is 163991.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 199361 - 2² = 199357 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199361.

It is not an unprimeable number, because it can be changed into a prime (199321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (26400).

2¹⁹⁹³⁶¹ is an apocalyptic number.

It is an amenable number.

199361 is a deficient number, since it is larger than the sum of its proper divisors (11839).

199361 is a wasteful number, since it uses less digits than its factorization.

199361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 1458, while the sum is 29.

The square root of 199361 is about 446.4986002218. The cubic root of 199361 is about 58.4180067386.

The spelling of 199361 in words is "one hundred ninety-nine thousand, three hundred sixty-one".