319993 has 2 divisors, whose sum is σ = 319994. Its totient is φ = 319992.

The previous prime is 319981. The next prime is 320009. The reversal of 319993 is 399913.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 41209 = 528^2 + 203^2 .

It is an emirp because it is prime and its reverse (399913) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-319993 is a prime.

319993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (319973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159996 + 159997.

It is an arithmetic number, because the mean of its divisors is an integer number (159997).

2³¹⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

319993 is a deficient number, since it is larger than the sum of its proper divisors (1).

319993 is an equidigital number, since it uses as much as digits as its factorization.

319993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6561, while the sum is 34.

The square root of 319993 is about 565.6792377311. The cubic root of 319993 is about 68.3985391204.

The spelling of 319993 in words is "three hundred nineteen thousand, nine hundred ninety-three".