2564657 has 2 divisors, whose sum is σ = 2564658. Its totient is φ = 2564656.

The previous prime is 2564651. The next prime is 2564663. The reversal of 2564657 is 7564652.

It is a balanced prime because it is at equal distance from previous prime (2564651) and next prime (2564663).

It can be written as a sum of positive squares in only one way, i.e., 1852321 + 712336 = 1361^2 + 844^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564657 - 2⁶ = 2564593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2564651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282328 + 1282329.

It is an arithmetic number, because the mean of its divisors is an integer number (1282329).

2^2564657 is an apocalyptic number.

It is an amenable number.

2564657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564657 is an equidigital number, since it uses as much as digits as its factorization.

2564657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 35.

The square root of 2564657 is about 1601.4546512468. The cubic root of 2564657 is about 136.8809771303.

It can be divided in two parts, 256 and 4657, that added together give a cube (4913 = 17³).

The spelling of 2564657 in words is "two million, five hundred sixty-four thousand, six hundred fifty-seven".