313806377 has 2 divisors, whose sum is σ = 313806378. Its totient is φ = 313806376.

The previous prime is 313806373. The next prime is 313806379. The reversal of 313806377 is 773608313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 307511296 + 6295081 = 17536^2 + 2509^2 .

It is a cyclic number.

It is not a de Polignac number, because 313806377 - 2² = 313806373 is a prime.

It is a super-2 number, since 2×313806377² = 196948884491732258, which contains 22 as substring.

Together with 313806379, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313806377.

It is not a weakly prime, because it can be changed into another prime (313806373) 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, 156903188 + 156903189.

It is an arithmetic number, because the mean of its divisors is an integer number (156903189).

Almost surely, 2^313806377 is an apocalyptic number.

It is an amenable number.

313806377 is a deficient number, since it is larger than the sum of its proper divisors (1).

313806377 is an equidigital number, since it uses as much as digits as its factorization.

313806377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 313806377 is about 17714.5809151670. The cubic root of 313806377 is about 679.5487035815.

The spelling of 313806377 in words is "three hundred thirteen million, eight hundred six thousand, three hundred seventy-seven".