13085193 has 16 divisors (see below), whose sum is σ = 19648512. Its totient is φ = 7674000.

The previous prime is 13085179. The next prime is 13085209. The reversal of 13085193 is 39158031.

It is a happy number.

It is not a de Polignac number, because 13085193 - 2⁹ = 13084681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13085193.

It is not an unprimeable number, because it can be changed into a prime (13085113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5373 + ... + 7418.

It is an arithmetic number, because the mean of its divisors is an integer number (1228032).

Almost surely, 2^13085193 is an apocalyptic number.

It is an amenable number.

13085193 is a deficient number, since it is larger than the sum of its proper divisors (6563319).

13085193 is a wasteful number, since it uses less digits than its factorization.

13085193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12836.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 13085193 is about 3617.3461266514. The cubic root of 13085193 is about 235.6459848286.

The spelling of 13085193 in words is "thirteen million, eighty-five thousand, one hundred ninety-three".