2005289 has 16 divisors (see below), whose sum is σ = 2425920. Its totient is φ = 1632960.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005289 is 9825002.

It is a cyclic number.

It is not a de Polignac number, because 2005289 - 2⁸ = 2005033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005229) 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 15 ways as a sum of consecutive naturals, for example, 5102 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (151620).

2^2005289 is an apocalyptic number.

It is an amenable number.

2005289 is a deficient number, since it is larger than the sum of its proper divisors (420631).

2005289 is a wasteful number, since it uses less digits than its factorization.

2005289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2005289 is about 1416.0822716213. The cubic root of 2005289 is about 126.1030692724.

The spelling of 2005289 in words is "two million, five thousand, two hundred eighty-nine".