4097984 has 28 divisors (see below), whose sum is σ = 8872728. Its totient is φ = 1862400.

The previous prime is 4097981. The next prime is 4097987. The reversal of 4097984 is 4897904.

4097984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4097981) and next prime (4097987).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097981) 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, 2207 + ... + 3614.

Almost surely, 2^4097984 is an apocalyptic number.

4097984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4097984 is an abundant number, since it is smaller than the sum of its proper divisors (4774744).

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

4097984 is a wasteful number, since it uses less digits than its factorization.

4097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 4097984 is about 2024.3477962050. The cubic root of 4097984 is about 160.0258291634.

The spelling of 4097984 in words is "four million, ninety-seven thousand, nine hundred eighty-four".