4117984 has 48 divisors (see below), whose sum is σ = 9208080. Its totient is φ = 1797120.

The previous prime is 4117979. The next prime is 4117987. The reversal of 4117984 is 4897114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117987) 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 7 ways as a sum of consecutive naturals, for example, 7644 + ... + 8164.

It is an arithmetic number, because the mean of its divisors is an integer number (191835).

Almost surely, 2^4117984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604040).

4117984 is an abundant number, since it is smaller than the sum of its proper divisors (5090096).

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

4117984 is a wasteful number, since it uses less digits than its factorization.

4117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its digits is 8064, while the sum is 34.

The square root of 4117984 is about 2029.2816462975. The cubic root of 4117984 is about 160.2857394024.

The spelling of 4117984 in words is "four million, one hundred seventeen thousand, nine hundred eighty-four".