2677 has 2 divisors, whose sum is σ = 2678. Its totient is φ = 2676.

The previous prime is 2671. The next prime is 2683. The reversal of 2677 is 7762.

It is a balanced prime because it is at equal distance from previous prime (2671) and next prime (2683).

It can be written as a sum of positive squares in only one way, i.e., 1521 + 1156 = 39^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 2677 - 2⁷ = 2549 is a prime.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1338 + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (1339).

2²⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

2677 is a deficient number, since it is larger than the sum of its proper divisors (1).

2677 is an equidigital number, since it uses as much as digits as its factorization.

2677 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2677 is about 51.7397332811. The cubic root of 2677 is about 13.8851142335.

It can be divided in two parts, 26 and 77, that multiplied together give a palindrome (2002).

The spelling of 2677 in words is "two thousand, six hundred seventy-seven".