4182 has 16 divisors (see below), whose sum is σ = 9072. Its totient is φ = 1280.

The previous prime is 4177. The next prime is 4201. The reversal of 4182 is 2814.

4182 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

4182 is an undulating number in base 9.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4182.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 122.

It is an arithmetic number, because the mean of its divisors is an integer number (567).

2⁴¹⁸² is an apocalyptic number.

4182 is an abundant number, since it is smaller than the sum of its proper divisors (4890).

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 (4536).

4182 is a wasteful number, since it uses less digits than its factorization.

4182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 64, while the sum is 15.

The square root of 4182 is about 64.6683848569. The cubic root of 4182 is about 16.1112044739. Note that the first 3 decimals are identical.

Adding to 4182 its reverse (2814), we get a palindrome (6996).

The spelling of 4182 in words is "four thousand, one hundred eighty-two".