13086 has 12 divisors (see below), whose sum is σ = 28392. Its totient is φ = 4356.

The previous prime is 13063. The next prime is 13093. The reversal of 13086 is 68031.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 727 = 13086 / (1 + 3 + 0 + 8 + 6).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13086.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (2366).

2¹³⁰⁸⁶ is an apocalyptic number.

13086 is an abundant number, since it is smaller than the sum of its proper divisors (15306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13086 is a wasteful number, since it uses less digits than its factorization.

13086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13086 is about 114.3940557896. The cubic root of 13086 is about 23.5650829042.

13086 divided by its sum of digits (18) gives a palindrome (727).

Subtracting 13086 from its reverse (68031), we obtain a palindrome (54945).

It can be divided in two parts, 130 and 86, that added together give a cube (216 = 6³).

The spelling of 13086 in words is "thirteen thousand, eighty-six".