2585603 has 2 divisors, whose sum is σ = 2585604. Its totient is φ = 2585602.

The previous prime is 2585579. The next prime is 2585623. The reversal of 2585603 is 3065852.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2585603 - 2⁸ = 2585347 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292801 + 1292802.

It is an arithmetic number, because the mean of its divisors is an integer number (1292802).

2^2585603 is an apocalyptic number.

2585603 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585603 is an equidigital number, since it uses as much as digits as its factorization.

2585603 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2585603 is about 1607.9810322264. The cubic root of 2585603 is about 137.2526108132.

Subtracting 2585603 from its reverse (3065852), we obtain a square (480249 = 693²).

The spelling of 2585603 in words is "two million, five hundred eighty-five thousand, six hundred three".