2589677 has 2 divisors, whose sum is σ = 2589678. Its totient is φ = 2589676.

The previous prime is 2589659. The next prime is 2589679. The reversal of 2589677 is 7769852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2540836 + 48841 = 1594^2 + 221^2 .

It is a cyclic number.

It is not a de Polignac number, because 2589677 - 2¹⁴ = 2573293 is a prime.

Together with 2589679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2589679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294838 + 1294839.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839).

2^2589677 is an apocalyptic number.

It is an amenable number.

2589677 is a deficient number, since it is larger than the sum of its proper divisors (1).

2589677 is an equidigital number, since it uses as much as digits as its factorization.

2589677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 44.

The square root of 2589677 is about 1609.2473395970. The cubic root of 2589677 is about 137.3246602487.

The spelling of 2589677 in words is "two million, five hundred eighty-nine thousand, six hundred seventy-seven".