13575585 has 16 divisors (see below), whose sum is σ = 21790080. Its totient is φ = 7217280.

The previous prime is 13575577. The next prime is 13575593. The reversal of 13575585 is 58557531.

13575585 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13575577) and next prime (13575593).

It is not a de Polignac number, because 13575585 - 2³ = 13575577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4125 + ... + 6645.

It is an arithmetic number, because the mean of its divisors is an integer number (1361880).

Almost surely, 2^13575585 is an apocalyptic number.

13575585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13575585 is a deficient number, since it is larger than the sum of its proper divisors (8214495).

13575585 is a wasteful number, since it uses less digits than its factorization.

13575585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888.

The product of its digits is 105000, while the sum is 39.

The square root of 13575585 is about 3684.5060727321. The cubic root of 13575585 is about 238.5537151185.

The spelling of 13575585 in words is "thirteen million, five hundred seventy-five thousand, five hundred eighty-five".