2163 has 8 divisors (see below), whose sum is σ = 3328. Its totient is φ = 1224.

The previous prime is 2161. The next prime is 2179. The reversal of 2163 is 3612.

2163 is nontrivially palindromic in base 5.

2163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2163 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2163 - 2¹ = 2161 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is the 47-th Hogben number.

It is a Duffinian number.

2163 is a modest number, since divided by 63 gives 21 as remainder.

2163 is a lucky number.

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

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

It is a nontrivial repunit in base 46.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 72.

It is an arithmetic number, because the mean of its divisors is an integer number (416).

2²¹⁶³ is an apocalyptic number.

2163 is a deficient number, since it is larger than the sum of its proper divisors (1165).

2163 is a wasteful number, since it uses less digits than its factorization.

2163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 36, while the sum is 12.

The square root of 2163 is about 46.5080638169. The cubic root of 2163 is about 12.9325899125.

Adding to 2163 its reverse (3612), we get a palindrome (5775).

The spelling of 2163 in words is "two thousand, one hundred sixty-three".