2175 has 12 divisors (see below), whose sum is σ = 3720. Its totient is φ = 1120.

The previous prime is 2161. The next prime is 2179. The reversal of 2175 is 5712.

It is a happy number.

It is not a de Polignac number, because 2175 - 2⁵ = 2143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

2175 is an undulating number in base 12.

It is a nialpdrome in base 5 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 11 ways as a sum of consecutive naturals, for example, 61 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (310).

2175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2175 is a deficient number, since it is larger than the sum of its proper divisors (1545).

2175 is a wasteful number, since it uses less digits than its factorization.

2175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 37 counting only the distinct ones).

The product of its digits is 70, while the sum is 15.

The square root of 2175 is about 46.6368952654. The cubic root of 2175 is about 12.9564618447.

Adding to 2175 its reverse (5712), we get a palindrome (7887).

It can be divided in two parts, 217 and 5, that added together give a palindrome (222).

The spelling of 2175 in words is "two thousand, one hundred seventy-five".