3131984 has 20 divisors (see below), whose sum is σ = 6169620. Its totient is φ = 1539840.

The previous prime is 3131983. The next prime is 3132007. The reversal of 3131984 is 4891313.

3131984 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 2 ways, for example, as 760384 + 2371600 = 872^2 + 1540^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131981) 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, 629 + ... + 2580.

It is an arithmetic number, because the mean of its divisors is an integer number (308481).

Almost surely, 2^3131984 is an apocalyptic number.

It is an amenable number.

3131984 is a deficient number, since it is larger than the sum of its proper divisors (3037636).

3131984 is a wasteful number, since it uses less digits than its factorization.

3131984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3272 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 3131984 is about 1769.7412240212. The cubic root of 3131984 is about 146.3097196875.

The spelling of 3131984 in words is "three million, one hundred thirty-one thousand, nine hundred eighty-four".