38800393 has 2 divisors, whose sum is σ = 38800394. Its totient is φ = 38800392.

The previous prime is 38800387. The next prime is 38800459. The reversal of 38800393 is 39300883.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26183689 + 12616704 = 5117^2 + 3552^2 .

It is a cyclic number.

It is not a de Polignac number, because 38800393 - 2¹⁷ = 38669321 is a prime.

It is equal to p_2364973 and since 38800393 and 2364973 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 (38800373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19400196 + 19400197.

It is an arithmetic number, because the mean of its divisors is an integer number (19400197).

Almost surely, 2^38800393 is an apocalyptic number.

It is an amenable number.

38800393 is a deficient number, since it is larger than the sum of its proper divisors (1).

38800393 is an equidigital number, since it uses as much as digits as its factorization.

38800393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 38800393 is about 6228.9961470529. The cubic root of 38800393 is about 338.5415992809.

It can be divided in two parts, 38800 and 393, that added together give a palindrome (39193).

The spelling of 38800393 in words is "thirty-eight million, eight hundred thousand, three hundred ninety-three".