3889313 has 2 divisors, whose sum is σ = 3889314. Its totient is φ = 3889312.

The previous prime is 3889289. The next prime is 3889331. The reversal of 3889313 is 3139883.

3889313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (3889331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3888784 + 529 = 1972^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 3889313 - 2¹⁴ = 3872929 is a prime.

It is a super-2 number, since 2×3889313² = 30253511223938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p₂₇₅₈₈₅ and since 3889313 and 275885 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (3889373) 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, 1944656 + 1944657.

It is an arithmetic number, because the mean of its divisors is an integer number (1944657).

Almost surely, 2^3889313 is an apocalyptic number.

It is an amenable number.

3889313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3889313 is an equidigital number, since it uses as much as digits as its factorization.

3889313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 35.

The square root of 3889313 is about 1972.1341232279. The cubic root of 3889313 is about 157.2621824497.

The spelling of 3889313 in words is "three million, eight hundred eighty-nine thousand, three hundred thirteen".