2582609 has 2 divisors, whose sum is σ = 2582610. Its totient is φ = 2582608.

The previous prime is 2582581. The next prime is 2582611. The reversal of 2582609 is 9062852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1763584 + 819025 = 1328^2 + 905^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582609 - 2⁸ = 2582353 is a prime.

Together with 2582611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2582009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291304 + 1291305.

It is an arithmetic number, because the mean of its divisors is an integer number (1291305).

2^2582609 is an apocalyptic number.

It is an amenable number.

2582609 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582609 is an equidigital number, since it uses as much as digits as its factorization.

2582609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2582609 is about 1607.0497814318. The cubic root of 2582609 is about 137.1996131136.

The spelling of 2582609 in words is "two million, five hundred eighty-two thousand, six hundred nine".