2067 has 8 divisors (see below), whose sum is σ = 3024. Its totient is φ = 1248.

The previous prime is 2063. The next prime is 2069. The reversal of 2067 is 7602.

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

It is not a de Polignac number, because 2067 - 2² = 2063 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

2067 is a lucky number.

It is a nialpdrome in base 13.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

2²⁰⁶⁷ is an apocalyptic number.

2067 is a deficient number, since it is larger than the sum of its proper divisors (957).

2067 is a wasteful number, since it uses less digits than its factorization.

2067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2067 is about 45.4642716867. The cubic root of 2067 is about 12.7383592329.

Adding to 2067 its reverse (7602), we get a palindrome (9669).

The spelling of 2067 in words is "two thousand, sixty-seven".