3985564 has 24 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 1799280.

The previous prime is 3985549. The next prime is 3985567. The reversal of 3985564 is 4655893.

3985564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁹ + 9⁵ + 8³ + 5⁹ + 5⁹ + 6 + 4³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985567) 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, 10327 + ... + 10705.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^3985564 is an apocalyptic number.

It is an amenable number.

3985564 is a deficient number, since it is larger than the sum of its proper divisors (3675236).

3985564 is a wasteful number, since it uses less digits than its factorization.

3985564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 631 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 3985564 is about 1996.3877378906. The cubic root of 3985564 is about 158.5489106584.

The spelling of 3985564 in words is "three million, nine hundred eighty-five thousand, five hundred sixty-four".