13536085 has 8 divisors (see below), whose sum is σ = 16334136. Its totient is φ = 10768320.

The previous prime is 13536073. The next prime is 13536091. The reversal of 13536085 is 58063531.

It can be written as a sum of positive squares in 4 ways, for example, as 293764 + 13242321 = 542^2 + 3639^2 .

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

It is not a de Polignac number, because 13536085 - 2⁵ = 13536053 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 6574 + ... + 8383.

It is an arithmetic number, because the mean of its divisors is an integer number (2041767).

Almost surely, 2^13536085 is an apocalyptic number.

It is an amenable number.

13536085 is a deficient number, since it is larger than the sum of its proper divisors (2798051).

13536085 is a wasteful number, since it uses less digits than its factorization.

13536085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 13536085 is about 3679.1418836462. The cubic root of 13536085 is about 238.3221222605.

The spelling of 13536085 in words is "thirteen million, five hundred thirty-six thousand, eighty-five".