199313 has 2 divisors, whose sum is σ = 199314. Its totient is φ = 199312.

The previous prime is 199289. The next prime is 199321. The reversal of 199313 is 313991.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 16129 = 428^2 + 127^2 .

It is an emirp because it is prime and its reverse (313991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199313 - 2¹⁴ = 182929 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (199343) 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 as a sum of consecutive naturals, namely, 99656 + 99657.

It is an arithmetic number, because the mean of its divisors is an integer number (99657).

2¹⁹⁹³¹³ is an apocalyptic number.

It is an amenable number.

199313 is a deficient number, since it is larger than the sum of its proper divisors (1).

199313 is an equidigital number, since it uses as much as digits as its factorization.

199313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 26.

The square root of 199313 is about 446.4448454177. Note that the first 3 decimals coincide. The cubic root of 199313 is about 58.4133179422.

It can be divided in two parts, 199 and 313, that added together give a 9-th power (512 = 2⁹).

The spelling of 199313 in words is "one hundred ninety-nine thousand, three hundred thirteen".