2167 has 4 divisors (see below), whose sum is σ = 2376. Its totient is φ = 1960.

The previous prime is 2161. The next prime is 2179. The reversal of 2167 is 7612.

2167 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2167 - 2⁷ = 2039 is a prime.

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

2167 is an undulating number in base 14.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2167.

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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (594).

2167 is a deficient number, since it is larger than the sum of its proper divisors (209).

2167 is a wasteful number, since it uses less digits than its factorization.

2167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its digits is 84, while the sum is 16.

The square root of 2167 is about 46.5510472492. The cubic root of 2167 is about 12.9405570113.

Adding to 2167 its reverse (7612), we get a palindrome (9779).

Subtracting 2167 from its reverse (7612), we obtain a palindrome (5445).

It can be divided in two parts, 21 and 67, that added together give a palindrome (88).

The spelling of 2167 in words is "two thousand, one hundred sixty-seven".