13182 has 16 divisors (see below), whose sum is σ = 28560. Its totient is φ = 4056.

The previous prime is 13177. The next prime is 13183. The reversal of 13182 is 28131.

It is a happy number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12 and base 13.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13183) by changing a digit.

13182 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, 1008 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (1785).

2¹³¹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280).

13182 is an abundant number, since it is smaller than the sum of its proper divisors (15378).

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

13182 is an equidigital number, since it uses as much as digits as its factorization.

13182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 18 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 13182 is about 114.8128912623. The cubic root of 13182 is about 23.6225677068.

The spelling of 13182 in words is "thirteen thousand, one hundred eighty-two".