313403729 has 2 divisors, whose sum is σ = 313403730. Its totient is φ = 313403728.

The previous prime is 313403683. The next prime is 313403731. The reversal of 313403729 is 927304313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295324225 + 18079504 = 17185^2 + 4252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313403729 is a prime.

It is a super-2 number, since 2×313403729² = 196443794702210882, which contains 22 as substring.

Together with 313403731, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 313403695 and 313403704.

It is not a weakly prime, because it can be changed into another prime (313403759) 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, 156701864 + 156701865.

It is an arithmetic number, because the mean of its divisors is an integer number (156701865).

Almost surely, 2^313403729 is an apocalyptic number.

It is an amenable number.

313403729 is a deficient number, since it is larger than the sum of its proper divisors (1).

313403729 is an equidigital number, since it uses as much as digits as its factorization.

313403729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 313403729 is about 17703.2123921056. The cubic root of 313403729 is about 679.2579340097.

The spelling of 313403729 in words is "three hundred thirteen million, four hundred three thousand, seven hundred twenty-nine".