13206 has 16 divisors (see below), whose sum is σ = 27648. Its totient is φ = 4200.

The previous prime is 13187. The next prime is 13217. The reversal of 13206 is 60231.

It is a junction number, because it is equal to n+sod(n) for n = 13191 and 13200.

It is a congruent number.

It is an unprimeable number.

13206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹³²⁰⁶ is an apocalyptic number.

13206 is an abundant number, since it is smaller than the sum of its proper divisors (14442).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824).

13206 is a wasteful number, since it uses less digits than its factorization.

13206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13206 is about 114.9173616126. The cubic root of 13206 is about 23.6368952722.

Adding to 13206 its reverse (60231), we get a palindrome (73437).

It can be divided in two parts, 1320 and 6, that added together give a triangular number (1326 = T₅₁).

The spelling of 13206 in words is "thirteen thousand, two hundred six".