13581385 has 16 divisors (see below), whose sum is σ = 18009216. Its totient is φ = 9779968.

The previous prime is 13581361. The next prime is 13581389. The reversal of 13581385 is 58318531.

It is not a de Polignac number, because 13581385 - 2⁵ = 13581353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13581385.

It is not an unprimeable number, because it can be changed into a prime (13581389) 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 in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 5428.

It is an arithmetic number, because the mean of its divisors is an integer number (1125576).

Almost surely, 2^13581385 is an apocalyptic number.

It is an amenable number.

13581385 is a deficient number, since it is larger than the sum of its proper divisors (4427831).

13581385 is a wasteful number, since it uses less digits than its factorization.

13581385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992.

The product of its digits is 14400, while the sum is 34.

The square root of 13581385 is about 3685.2930684004. The cubic root of 13581385 is about 238.5876833183.

It can be divided in two parts, 1358 and 1385, that multiplied together give a triangular number (1880830 = T₁₉₃₉).

The spelling of 13581385 in words is "thirteen million, five hundred eighty-one thousand, three hundred eighty-five".