2657 has 2 divisors, whose sum is σ = 2658. Its totient is φ = 2656.

The previous prime is 2647. The next prime is 2659. The reversal of 2657 is 7562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2401 + 256 = 49^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 2657 - 2⁶ = 2593 is a prime.

Together with 2659, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (2659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1328 + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (1329).

2²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

2657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2657 is an equidigital number, since it uses as much as digits as its factorization.

2657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 2657 is about 51.5460958754. The cubic root of 2657 is about 13.8504489682.

It can be divided in two parts, 265 and 7, that added together give a palindrome (272).

The spelling of 2657 in words is "two thousand, six hundred fifty-seven".