73378313 has 2 divisors, whose sum is σ = 73378314. Its totient is φ = 73378312.

The previous prime is 73378267. The next prime is 73378337. The reversal of 73378313 is 31387337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62932489 + 10445824 = 7933^2 + 3232^2 .

It is an emirp because it is prime and its reverse (31387337) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73378313 - 2¹⁴ = 73361929 is a prime.

It is not a weakly prime, because it can be changed into another prime (73378813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36689156 + 36689157.

It is an arithmetic number, because the mean of its divisors is an integer number (36689157).

Almost surely, 2^73378313 is an apocalyptic number.

It is an amenable number.

73378313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73378313 is an equidigital number, since it uses as much as digits as its factorization.

73378313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 35.

The square root of 73378313 is about 8566.1142299178. The cubic root of 73378313 is about 418.6546387738.

The spelling of 73378313 in words is "seventy-three million, three hundred seventy-eight thousand, three hundred thirteen".