38805313 has 2 divisors, whose sum is σ = 38805314. Its totient is φ = 38805312.

The previous prime is 38805293. The next prime is 38805317. The reversal of 38805313 is 31350883.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 8862529 = 5472^2 + 2977^2 .

It is an emirp because it is prime and its reverse (31350883) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38805313 - 2⁵ = 38805281 is a prime.

It is not a weakly prime, because it can be changed into another prime (38805317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19402656 + 19402657.

It is an arithmetic number, because the mean of its divisors is an integer number (19402657).

Almost surely, 2^38805313 is an apocalyptic number.

It is an amenable number.

38805313 is a deficient number, since it is larger than the sum of its proper divisors (1).

38805313 is an equidigital number, since it uses as much as digits as its factorization.

38805313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 38805313 is about 6229.3910617331. The cubic root of 38805313 is about 338.5559080214. Note that the first 3 decimals are identical.

The spelling of 38805313 in words is "thirty-eight million, eight hundred five thousand, three hundred thirteen".