13585887 has 48 divisors (see below), whose sum is σ = 23878400. Its totient is φ = 7715736.

The previous prime is 13585853. The next prime is 13585889. The reversal of 13585887 is 78858531.

It is a happy number.

13585887 is a `hidden beast` number, since 13 + 58 + 588 + 7 = 666.

It is not a de Polignac number, because 13585887 - 2⁶ = 13585823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585889) 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 in 47 ways as a sum of consecutive naturals, for example, 83268 + ... + 83430.

Almost surely, 2^13585887 is an apocalyptic number.

13585887 is a deficient number, since it is larger than the sum of its proper divisors (10292513).

13585887 is an frugal number, since it uses more digits than its factorization.

13585887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 13585887 is about 3685.9038240301. The cubic root of 13585887 is about 238.6140430032.

The spelling of 13585887 in words is "thirteen million, five hundred eighty-five thousand, eight hundred eighty-seven".