38005813 has 2 divisors, whose sum is σ = 38005814. Its totient is φ = 38005812.

The previous prime is 38005789. The next prime is 38005819. The reversal of 38005813 is 31850083.

38005813 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., 36699364 + 1306449 = 6058^2 + 1143^2 .

It is an emirp because it is prime and its reverse (31850083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38005813 - 2¹⁷ = 37874741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38005819) 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 as a sum of consecutive naturals, namely, 19002906 + 19002907.

It is an arithmetic number, because the mean of its divisors is an integer number (19002907).

Almost surely, 2^38005813 is an apocalyptic number.

It is an amenable number.

38005813 is a deficient number, since it is larger than the sum of its proper divisors (1).

38005813 is an equidigital number, since it uses as much as digits as its factorization.

38005813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 38005813 is about 6164.8854814992. The cubic root of 38005813 is about 336.2146829313.

Adding to 38005813 its reverse (31850083), we get a palindrome (69855896).

The spelling of 38005813 in words is "thirty-eight million, five thousand, eight hundred thirteen".