6667 has 4 divisors (see below), whose sum is σ = 6840. Its totient is φ = 6496.

The previous prime is 6661. The next prime is 6673. The reversal of 6667 is 7666.

6667 is nontrivially palindromic in base 2.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7666 = 2 ⋅3833.

It is an interprime number because it is at equal distance from previous prime (6661) and next prime (6673).

It is a cyclic number.

It is not a de Polignac number, because 6667 - 2³ = 6659 is a prime.

It is a Duffinian number.

6667 is a lucky number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (6661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 115.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁶⁶⁶⁷ is an apocalyptic number.

6667 is a deficient number, since it is larger than the sum of its proper divisors (173).

6667 is a wasteful number, since it uses less digits than its factorization.

6667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 1512, while the sum is 25.

The square root of 6667 is about 81.6516993087. The cubic root of 6667 is about 18.8210342511.

Subtracting 6667 from its reverse (7666), we obtain a palindrome (999).

The spelling of 6667 in words is "six thousand, six hundred sixty-seven".