2657657 has 2 divisors, whose sum is σ = 2657658. Its totient is φ = 2657656.

The previous prime is 2657651. The next prime is 2657671. The reversal of 2657657 is 7567562.

2657657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2262016 + 395641 = 1504^2 + 629^2 .

It is a cyclic number.

It is not a de Polignac number, because 2657657 - 2⁸ = 2657401 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2657657.

It is not a weakly prime, because it can be changed into another prime (2657651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1328828 + 1328829.

It is an arithmetic number, because the mean of its divisors is an integer number (1328829).

2^2657657 is an apocalyptic number.

It is an amenable number.

2657657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2657657 is an equidigital number, since it uses as much as digits as its factorization.

2657657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 38.

The square root of 2657657 is about 1630.2321920512. The cubic root of 2657657 is about 138.5159048059.

It can be divided in two parts, 265 and 7657, that multiplied together give a triangular number (2029105 = T₂₀₁₄).

The spelling of 2657657 in words is "two million, six hundred fifty-seven thousand, six hundred fifty-seven".