3838013 has 2 divisors, whose sum is σ = 3838014. Its totient is φ = 3838012.

The previous prime is 3838001. The next prime is 3838027. The reversal of 3838013 is 3108383.

3838013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2393209 + 1444804 = 1547^2 + 1202^2 .

It is an emirp because it is prime and its reverse (3108383) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3838013 - 2⁴ = 3837997 is a prime.

It is a Chen prime.

It is equal to p₂₇₂₅₁₉ and since 3838013 and 272519 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3838213) 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, 1919006 + 1919007.

It is an arithmetic number, because the mean of its divisors is an integer number (1919007).

Almost surely, 2^3838013 is an apocalyptic number.

It is an amenable number.

3838013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3838013 is an equidigital number, since it uses as much as digits as its factorization.

3838013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3838013 is about 1959.0847352782. The cubic root of 3838013 is about 156.5676911186.

It can be divided in two parts, 383801 and 3, that multiplied together give a triangular number (1151403 = T₁₅₁₇).

The spelling of 3838013 in words is "three million, eight hundred thirty-eight thousand, thirteen".