4113984 has 56 divisors (see below), whose sum is σ = 12443968. Its totient is φ = 1175040.

The previous prime is 4113959. The next prime is 4113997. The reversal of 4113984 is 4893114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 2874.

Almost surely, 2^4113984 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 4113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221984).

4113984 is an abundant number, since it is smaller than the sum of its proper divisors (8329984).

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

4113984 is a wasteful number, since it uses less digits than its factorization.

4113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3073 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 4113984 is about 2028.2958364105. The cubic root of 4113984 is about 160.2338247875.

The spelling of 4113984 in words is "four million, one hundred thirteen thousand, nine hundred eighty-four".