4112004 has 48 divisors (see below), whose sum is σ = 10590272. Its totient is φ = 1233792.

The previous prime is 4111993. The next prime is 4112021. The reversal of 4112004 is 4002114.

4112004 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6402 + ... + 7014.

Almost surely, 2^4112004 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 4112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295136).

4112004 is an abundant number, since it is smaller than the sum of its proper divisors (6478268).

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

4112004 is a wasteful number, since it uses less digits than its factorization.

4112004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4112004 is about 2027.8076831889. The cubic root of 4112004 is about 160.2081146013.

Adding to 4112004 its reverse (4002114), we get a palindrome (8114118).

It can be divided in two parts, 411 and 2004, that added together give a triangular number (2415 = T₆₉).

The spelling of 4112004 in words is "four million, one hundred twelve thousand, four".