13585903 has 2 divisors, whose sum is σ = 13585904. Its totient is φ = 13585902.

The previous prime is 13585889. The next prime is 13585909. The reversal of 13585903 is 30958531.

13585903 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (30958531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13585903 - 2²¹ = 11488751 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13585909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6792951 + 6792952.

It is an arithmetic number, because the mean of its divisors is an integer number (6792952).

Almost surely, 2^13585903 is an apocalyptic number.

13585903 is a deficient number, since it is larger than the sum of its proper divisors (1).

13585903 is an equidigital number, since it uses as much as digits as its factorization.

13585903 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 13585903 is about 3685.9059944605. The cubic root of 13585903 is about 238.6141366745.

The spelling of 13585903 in words is "thirteen million, five hundred eighty-five thousand, nine hundred three".