4013984 has 24 divisors (see below), whose sum is σ = 8511300. Its totient is φ = 1852416.

The previous prime is 4013981. The next prime is 4013987. The reversal of 4013984 is 4893104.

It is an interprime number because it is at equal distance from previous prime (4013981) and next prime (4013987).

It can be written as a sum of positive squares in 2 ways, for example, as 3341584 + 672400 = 1828^2 + 820^2 .

It is a super-2 number, since 2×4013984² = 32224135104512, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4013981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4409 + ... + 5240.

Almost surely, 2^4013984 is an apocalyptic number.

It is an amenable number.

4013984 is an abundant number, since it is smaller than the sum of its proper divisors (4497316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4013984 is a wasteful number, since it uses less digits than its factorization.

4013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9672 (or 9664 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4013984 is about 2003.4929498254. The cubic root of 4013984 is about 158.9248751811.

The spelling of 4013984 in words is "four million, thirteen thousand, nine hundred eighty-four".