4004112 has 80 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 1075200.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004112 is 2114004.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 6062.

Almost surely, 2^4004112 is an apocalyptic number.

4004112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

4004112 is an abundant number, since it is smaller than the sum of its proper divisors (8530800).

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

4004112 is a wasteful number, since it uses less digits than its factorization.

4004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

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

The square root of 4004112 is about 2001.0277359397. The cubic root of 4004112 is about 158.7944815108.

Adding to 4004112 its reverse (2114004), we get a palindrome (6118116).

The spelling of 4004112 in words is "four million, four thousand, one hundred twelve".