2667 has 8 divisors (see below), whose sum is σ = 4096. Its totient is φ = 1512.

The previous prime is 2663. The next prime is 2671. The reversal of 2667 is 7662.

It is an interprime number because it is at equal distance from previous prime (2663) and next prime (2671).

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

It is not a de Polignac number, because 2667 - 2² = 2663 is a prime.

It is a super-2 number, since 2×2667² = 14225778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 127 = 2667 / (2 + 6 + 6 + 7).

It is a Duffinian number.

2667 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2663) 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 7 ways as a sum of consecutive naturals, for example, 43 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (512).

2667 is a deficient number, since it is larger than the sum of its proper divisors (1429).

2667 is a wasteful number, since it uses less digits than its factorization.

2667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its digits is 504, while the sum is 21.

The square root of 2667 is about 51.6430053347. The cubic root of 2667 is about 13.8678032640.

The spelling of 2667 in words is "two thousand, six hundred sixty-seven".