13585473 has 24 divisors (see below), whose sum is σ = 21936096. Its totient is φ = 8030400.

The previous prime is 13585459. The next prime is 13585489. The reversal of 13585473 is 37458531.

13585473 is a `hidden beast` number, since 1 + 3 + 585 + 4 + 73 = 666.

It is not a de Polignac number, because 13585473 - 2⁴ = 13585457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13585423) 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 23 ways as a sum of consecutive naturals, for example, 2386 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^13585473 is an apocalyptic number.

It is an amenable number.

13585473 is a deficient number, since it is larger than the sum of its proper divisors (8350623).

13585473 is a wasteful number, since it uses less digits than its factorization.

13585473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3402 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 13585473 is about 3685.8476636996. The cubic root of 13585473 is about 238.6116192327.

The spelling of 13585473 in words is "thirteen million, five hundred eighty-five thousand, four hundred seventy-three".