2565657 has 24 divisors (see below), whose sum is σ = 4029480. Its totient is φ = 1566720.

The previous prime is 2565649. The next prime is 2565671. The reversal of 2565657 is 7565652.

It can be written as a sum of positive squares in 4 ways, for example, as 594441 + 1971216 = 771^2 + 1404^2 .

It is not a de Polignac number, because 2565657 - 2³ = 2565649 is a prime.

2565657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2565257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6069 + ... + 6477.

It is an arithmetic number, because the mean of its divisors is an integer number (167895).

2^2565657 is an apocalyptic number.

It is an amenable number.

2565657 is a deficient number, since it is larger than the sum of its proper divisors (1463823).

2565657 is a wasteful number, since it uses less digits than its factorization.

2565657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 2565657 is about 1601.7668369647. The cubic root of 2565657 is about 136.8987654987.

The spelling of 2565657 in words is "two million, five hundred sixty-five thousand, six hundred fifty-seven".