2767 has 2 divisors, whose sum is σ = 2768. Its totient is φ = 2766.

The previous prime is 2753. The next prime is 2777. The reversal of 2767 is 7672.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2767 - 2¹¹ = 719 is a prime.

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

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1383 + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (1384).

2²⁷⁶⁷ is an apocalyptic number.

2767 is a deficient number, since it is larger than the sum of its proper divisors (1).

2767 is an equidigital number, since it uses as much as digits as its factorization.

2767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 588, while the sum is 22.

The square root of 2767 is about 52.6022813193. The cubic root of 2767 is about 14.0390068642.

The spelling of 2767 in words is "two thousand, seven hundred sixty-seven".