4005216 has 36 divisors (see below), whose sum is σ = 11390652. Its totient is φ = 1334976.

The previous prime is 4005203. The next prime is 4005223. The reversal of 4005216 is 6125004.

It is a happy number.

4005216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6666 + ... + 7241.

It is an arithmetic number, because the mean of its divisors is an integer number (316407).

Almost surely, 2^4005216 is an apocalyptic number.

It is an amenable number.

4005216 is an abundant number, since it is smaller than the sum of its proper divisors (7385436).

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

4005216 is a wasteful number, since it uses less digits than its factorization.

4005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4005216 is about 2001.3035751729. The cubic root of 4005216 is about 158.8090742593.

The spelling of 4005216 in words is "four million, five thousand, two hundred sixteen".