313728641 has 8 divisors (see below), whose sum is σ = 326234280. Its totient is φ = 301335552.

The previous prime is 313728637. The next prime is 313728643. The reversal of 313728641 is 146827313.

It can be written as a sum of positive squares in 4 ways, for example, as 67897600 + 245831041 = 8240^2 + 15679^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313728641 - 2² = 313728637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313728643) 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 in 7 ways as a sum of consecutive naturals, for example, 22430 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (40779285).

Almost surely, 2^313728641 is an apocalyptic number.

It is an amenable number.

313728641 is a deficient number, since it is larger than the sum of its proper divisors (12505639).

313728641 is a wasteful number, since it uses less digits than its factorization.

313728641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56275.

The product of its digits is 24192, while the sum is 35.

The square root of 313728641 is about 17712.3866545421. The cubic root of 313728641 is about 679.4925864294.

The spelling of 313728641 in words is "three hundred thirteen million, seven hundred twenty-eight thousand, six hundred forty-one".