4003104 has 144 divisors (see below), whose sum is σ = 13099968. Its totient is φ = 1064448.

The previous prime is 4003099. The next prime is 4003121. The reversal of 4003104 is 4013004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 4003104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108174 + ... + 108210.

It is an arithmetic number, because the mean of its divisors is an integer number (90972).

Almost surely, 2^4003104 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 4003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549984).

4003104 is an abundant number, since it is smaller than the sum of its proper divisors (9096864).

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

4003104 is a wasteful number, since it uses less digits than its factorization.

4003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4003104 is about 2000.7758495144. The cubic root of 4003104 is about 158.7811553542.

Adding to 4003104 its reverse (4013004), we get a palindrome (8016108).

The spelling of 4003104 in words is "four million, three thousand, one hundred four".