2164 has 6 divisors (see below), whose sum is σ = 3794. Its totient is φ = 1080.

The previous prime is 2161. The next prime is 2179. The reversal of 2164 is 4612.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 400 = 42^2 + 20^2 .

It is a nialpdrome in base 7, base 13, base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161) by changing a digit.

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 as a sum of consecutive naturals, namely, 267 + ... + 274.

It is an amenable number.

2164 is a deficient number, since it is larger than the sum of its proper divisors (1630).

2164 is a wasteful number, since it uses less digits than its factorization.

2164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 2164 is about 46.5188133985. The cubic root of 2164 is about 12.9345826074.

Subtracting from 2164 its product of digits (48), we obtain a square (2116 = 46²).

Adding to 2164 its reverse (4612), we get a palindrome (6776).

The spelling of 2164 in words is "two thousand, one hundred sixty-four".