13006085 has 8 divisors (see below), whose sum is σ = 15664536. Its totient is φ = 10366720.

The previous prime is 13006069. The next prime is 13006111. The reversal of 13006085 is 58060031.

It can be written as a sum of positive squares in 4 ways, for example, as 268324 + 12737761 = 518^2 + 3569^2 .

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

It is not a de Polignac number, because 13006085 - 2⁴ = 13006069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13006085.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3224 + ... + 6033.

It is an arithmetic number, because the mean of its divisors is an integer number (1958067).

Almost surely, 2^13006085 is an apocalyptic number.

It is an amenable number.

13006085 is a deficient number, since it is larger than the sum of its proper divisors (2658451).

13006085 is an equidigital number, since it uses as much as digits as its factorization.

13006085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13006085 is about 3606.3950144154. The cubic root of 13006085 is about 235.1701498997.

The spelling of 13006085 in words is "thirteen million, six thousand, eighty-five".