13166 has 8 divisors (see below), whose sum is σ = 20520. Its totient is φ = 6328.

The previous prime is 13163. The next prime is 13171. The reversal of 13166 is 66131.

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

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

2¹³¹⁶⁶ is an apocalyptic number.

13166 is a deficient number, since it is larger than the sum of its proper divisors (7354).

13166 is a wasteful number, since it uses less digits than its factorization.

13166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 108, while the sum is 17.

The square root of 13166 is about 114.7431915191. The cubic root of 13166 is about 23.6130063326.

Adding to 13166 its reverse (66131), we get a palindrome (79297).

It can be divided in two parts, 131 and 66, that multiplied together give a triangular number (8646 = T₁₃₁).

The spelling of 13166 in words is "thirteen thousand, one hundred sixty-six".