13485985 has 8 divisors (see below), whose sum is σ = 16327080. Its totient is φ = 10692864.

The previous prime is 13485977. The next prime is 13486001. The reversal of 13485985 is 58958431.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 13198689 = 536^2 + 3633^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13485985 - 2³ = 13485977 is a prime.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11370 + ... + 12499.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2^13485985 is an apocalyptic number.

It is an amenable number.

13485985 is a deficient number, since it is larger than the sum of its proper divisors (2841095).

13485985 is a wasteful number, since it uses less digits than its factorization.

13485985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23987.

The product of its digits is 172800, while the sum is 43.

The square root of 13485985 is about 3672.3269189984. The cubic root of 13485985 is about 238.0277313919.

The spelling of 13485985 in words is "thirteen million, four hundred eighty-five thousand, nine hundred eighty-five".