320014993 has 2 divisors, whose sum is σ = 320014994. Its totient is φ = 320014992.

The previous prime is 320014979. The next prime is 320014999. The reversal of 320014993 is 399410023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293882449 + 26132544 = 17143^2 + 5112^2 .

It is a cyclic number.

It is not a de Polignac number, because 320014993 - 2⁹ = 320014481 is a prime.

It is not a weakly prime, because it can be changed into another prime (320014999) 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, 160007496 + 160007497.

It is an arithmetic number, because the mean of its divisors is an integer number (160007497).

Almost surely, 2^320014993 is an apocalyptic number.

It is an amenable number.

320014993 is a deficient number, since it is larger than the sum of its proper divisors (1).

320014993 is an equidigital number, since it uses as much as digits as its factorization.

320014993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 320014993 is about 17888.9628821796. The cubic root of 320014993 is about 684.0010608661.

The spelling of 320014993 in words is "three hundred twenty million, fourteen thousand, nine hundred ninety-three".