38808541 has 2 divisors, whose sum is σ = 38808542. Its totient is φ = 38808540.

The previous prime is 38808527. The next prime is 38808547. The reversal of 38808541 is 14580883.

38808541 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., 38800441 + 8100 = 6229^2 + 90^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38808541 is a prime.

It is a super-2 number, since 2×38808541² = 3012205709097362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38808541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38808547) 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, 19404270 + 19404271.

It is an arithmetic number, because the mean of its divisors is an integer number (19404271).

Almost surely, 2^38808541 is an apocalyptic number.

It is an amenable number.

38808541 is a deficient number, since it is larger than the sum of its proper divisors (1).

38808541 is an equidigital number, since it uses as much as digits as its factorization.

38808541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 38808541 is about 6229.6501506906. The cubic root of 38808541 is about 338.5652952942.

It can be divided in two parts, 3880 and 8541, that added together give a palindrome (12421).

The spelling of 38808541 in words is "thirty-eight million, eight hundred eight thousand, five hundred forty-one".