13205 has 8 divisors (see below), whose sum is σ = 16800. Its totient is φ = 9936.

The previous prime is 13187. The next prime is 13217. The reversal of 13205 is 50231.

13205 is nontrivially palindromic in base 3 and base 9.

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 13205 - 2¹² = 9109 is a prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2¹³²⁰⁵ is an apocalyptic number.

It is an amenable number.

13205 is a deficient number, since it is larger than the sum of its proper divisors (3595).

13205 is a wasteful number, since it uses less digits than its factorization.

13205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 13205 is about 114.9130105776. The cubic root of 13205 is about 23.6362986371.

Adding to 13205 its reverse (50231), we get a palindrome (63436).

The spelling of 13205 in words is "thirteen thousand, two hundred five".