4004116 has 24 divisors (see below), whose sum is σ = 7426944. Its totient is φ = 1884960.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004116 is 6114004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004116.

It is a congruent number.

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, 6226 + ... + 6838.

It is an arithmetic number, because the mean of its divisors is an integer number (309456).

Almost surely, 2^4004116 is an apocalyptic number.

4004116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4004116 is a deficient number, since it is larger than the sum of its proper divisors (3422828).

4004116 is a wasteful number, since it uses less digits than its factorization.

4004116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4004116 is about 2001.0287354259. The cubic root of 4004116 is about 158.7945343880.

It can be divided in two parts, 4004 and 116, that multiplied together give a palindrome (464464).

The spelling of 4004116 in words is "four million, four thousand, one hundred sixteen".