4000313 has 4 divisors (see below), whose sum is σ = 4035828. Its totient is φ = 3964800.

The previous prime is 4000309. The next prime is 4000343. The reversal of 4000313 is 3130004.

4000313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 344569 + 3655744 = 587^2 + 1912^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000313 - 2² = 4000309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4000294 and 4000303.

It is not an unprimeable number, because it can be changed into a prime (4000303) 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 in 3 ways as a sum of consecutive naturals, for example, 17588 + ... + 17813.

It is an arithmetic number, because the mean of its divisors is an integer number (1008957).

Almost surely, 2^4000313 is an apocalyptic number.

It is an amenable number.

4000313 is a deficient number, since it is larger than the sum of its proper divisors (35515).

4000313 is a wasteful number, since it uses less digits than its factorization.

4000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35514.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 4000313 is about 2000.0782484693. The cubic root of 4000313 is about 158.7442455599.

Adding to 4000313 its reverse (3130004), we get a palindrome (7130317).

The spelling of 4000313 in words is "four million, three hundred thirteen", and thus it is an aban number.