3966584 has 16 divisors (see below), whose sum is σ = 7484400. Its totient is φ = 1970752.

The previous prime is 3966583. The next prime is 3966607. The reversal of 3966584 is 4856693.

3966584 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966581) 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 3 ways as a sum of consecutive naturals, for example, 149 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 2^3966584 is an apocalyptic number.

It is an amenable number.

3966584 is a deficient number, since it is larger than the sum of its proper divisors (3517816).

3966584 is a wasteful number, since it uses less digits than its factorization.

3966584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3138 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 3966584 is about 1991.6284794108. The cubic root of 3966584 is about 158.2968302431.

The spelling of 3966584 in words is "three million, nine hundred sixty-six thousand, five hundred eighty-four".