2565985 has 8 divisors (see below), whose sum is σ = 3154536. Its totient is φ = 2002560.

The previous prime is 2565947. The next prime is 2565989. The reversal of 2565985 is 5895652.

2565985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 2331729 = 484^2 + 1527^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2565985 - 2¹¹ = 2563937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2565989) 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 7 ways as a sum of consecutive naturals, for example, 6054 + ... + 6463.

It is an arithmetic number, because the mean of its divisors is an integer number (394317).

2^2565985 is an apocalyptic number.

It is an amenable number.

2565985 is a deficient number, since it is larger than the sum of its proper divisors (588551).

2565985 is a wasteful number, since it uses less digits than its factorization.

2565985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563.

The product of its digits is 108000, while the sum is 40.

The square root of 2565985 is about 1601.8692206294. The cubic root of 2565985 is about 136.9045990768.

It can be divided in two parts, 256 and 5985, that added together give a square (6241 = 79²).

The spelling of 2565985 in words is "two million, five hundred sixty-five thousand, nine hundred eighty-five".