38505713 has 2 divisors, whose sum is σ = 38505714. Its totient is φ = 38505712.

The previous prime is 38505679. The next prime is 38505739. The reversal of 38505713 is 31750583.

38505713 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., 38291344 + 214369 = 6188^2 + 463^2 .

It is an emirp because it is prime and its reverse (31750583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38505713 - 2¹⁴ = 38489329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38505713.

It is not a weakly prime, because it can be changed into another prime (38505743) 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, 19252856 + 19252857.

It is an arithmetic number, because the mean of its divisors is an integer number (19252857).

Almost surely, 2^38505713 is an apocalyptic number.

It is an amenable number.

38505713 is a deficient number, since it is larger than the sum of its proper divisors (1).

38505713 is an equidigital number, since it uses as much as digits as its factorization.

38505713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 38505713 is about 6205.2971725776. The cubic root of 38505713 is about 337.6823720344.

The spelling of 38505713 in words is "thirty-eight million, five hundred five thousand, seven hundred thirteen".