13735809 has 12 divisors (see below), whose sum is σ = 20092800. Its totient is φ = 9040824.

The previous prime is 13735789. The next prime is 13735817. The reversal of 13735809 is 90853731.

13735809 is a `hidden beast` number, since 1 + 3 + 73 + 580 + 9 = 666.

It is not a de Polignac number, because 13735809 - 2¹⁷ = 13604737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13735819) 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 11 ways as a sum of consecutive naturals, for example, 8949 + ... + 10370.

It is an arithmetic number, because the mean of its divisors is an integer number (1674400).

Almost surely, 2^13735809 is an apocalyptic number.

It is an amenable number.

13735809 is a deficient number, since it is larger than the sum of its proper divisors (6356991).

13735809 is a wasteful number, since it uses less digits than its factorization.

13735809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19404 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13735809 is about 3706.1852355218. The cubic root of 13735809 is about 239.4885462537.

The spelling of 13735809 in words is "thirteen million, seven hundred thirty-five thousand, eight hundred nine".