3958313 has 2 divisors, whose sum is σ = 3958314. Its totient is φ = 3958312.

The previous prime is 3958261. The next prime is 3958337. The reversal of 3958313 is 3138593.

3958313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3052009 + 906304 = 1747^2 + 952^2 .

It is an emirp because it is prime and its reverse (3138593) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3958313 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3958313.

It is not a weakly prime, because it can be changed into another prime (3958343) 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 as a sum of consecutive naturals, namely, 1979156 + 1979157.

It is an arithmetic number, because the mean of its divisors is an integer number (1979157).

Almost surely, 2^3958313 is an apocalyptic number.

It is an amenable number.

3958313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3958313 is an equidigital number, since it uses as much as digits as its factorization.

3958313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 32.

The square root of 3958313 is about 1989.5509543613. The cubic root of 3958313 is about 158.1867284395.

The spelling of 3958313 in words is "three million, nine hundred fifty-eight thousand, three hundred thirteen".