2172 has 12 divisors (see below), whose sum is σ = 5096. Its totient is φ = 720.

The previous prime is 2161. The next prime is 2179. The reversal of 2172 is 2712.

2172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 181 = 2172 / (2 + 1 + 7 + 2).

It is a plaindrome in base 15.

It is a nialpdrome in base 3, base 7 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2179) 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, 79 + ... + 102.

It is an amenable number.

2172 is an abundant number, since it is smaller than the sum of its proper divisors (2924).

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 (2548).

2172 is a wasteful number, since it uses less digits than its factorization.

2172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its digits is 28, while the sum is 12.

The square root of 2172 is about 46.6047207909. The cubic root of 2172 is about 12.9505021098.

2172 divided by its sum of digits (12) gives a palindrome (181).

Adding to 2172 its reverse (2712), we get a palindrome (4884).

It can be divided in two parts, 217 and 2, that multiplied together give a palindrome (434).

The spelling of 2172 in words is "two thousand, one hundred seventy-two", and thus it is an iban number.