13176 has 32 divisors (see below), whose sum is σ = 37200. Its totient is φ = 4320.

The previous prime is 13171. The next prime is 13177. The reversal of 13176 is 67131.

13176 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

13176 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 246.

13176 is a Friedman number, since it can be written as 61*(7-1)^3, using all its digits and the basic arithmetic operations.

2¹³¹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600).

13176 is an abundant number, since it is smaller than the sum of its proper divisors (24024).

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

13176 is a wasteful number, since it uses less digits than its factorization.

13176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 13176 is about 114.7867588183. The cubic root of 13176 is about 23.6189830986.

The spelling of 13176 in words is "thirteen thousand, one hundred seventy-six".