2589417 has 12 divisors (see below), whose sum is σ = 3827824. Its totient is φ = 1685880.

The previous prime is 2589407. The next prime is 2589427. The reversal of 2589417 is 7149852.

2589417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2589407) and next prime (2589427).

It is not a de Polignac number, because 2589417 - 2⁷ = 2589289 is a prime.

It is a Duffinian number.

2589417 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2589407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2959 + ... + 3732.

2^2589417 is an apocalyptic number.

It is an amenable number.

2589417 is a deficient number, since it is larger than the sum of its proper divisors (1238407).

2589417 is a wasteful number, since it uses less digits than its factorization.

2589417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6737 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2589417 is about 1609.1665544623. The cubic root of 2589417 is about 137.3200643593.

The spelling of 2589417 in words is "two million, five hundred eighty-nine thousand, four hundred seventeen".