2066 has 4 divisors (see below), whose sum is σ = 3102. Its totient is φ = 1032.

The previous prime is 2063. The next prime is 2069. The reversal of 2066 is 6602.

2066 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 6602 = 2 ⋅3301.

It is an interprime number because it is at equal distance from previous prime (2063) and next prime (2069).

It can be written as a sum of positive squares in only one way, i.e., 1225 + 841 = 35^2 + 29^2 .

2066 is an undulating number in base 13.

2066 is a modest number, since divided by 66 gives 20 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2066.

It is not an unprimeable number, because it can be changed into a prime (2063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515 + ... + 518.

2²⁰⁶⁶ is an apocalyptic number.

2066 is a deficient number, since it is larger than the sum of its proper divisors (1036).

2066 is a wasteful number, since it uses less digits than its factorization.

2066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2066 is about 45.4532727095. The cubic root of 2066 is about 12.7363046588.

Adding to 2066 its sum of digits (14), we get a triangular number (2080 = T₆₄).

Adding to 2066 its reverse (6602), we get a palindrome (8668).

It can be divided in two parts, 206 and 6, that added together give a palindrome (212).

The spelling of 2066 in words is "two thousand, sixty-six", and thus it is an eban number.