1004112 has 60 divisors (see below), whose sum is σ = 2966080. Its totient is φ = 316224.

The previous prime is 1004089. The next prime is 1004117. The reversal of 1004112 is 2114001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1004094 and 1004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2553 + ... + 2919.

2^1004112 is an apocalyptic number.

1004112 is a gapful number since it is divisible by the number (12) 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 1004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483040).

1004112 is an abundant number, since it is smaller than the sum of its proper divisors (1961968).

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

1004112 is a wasteful number, since it uses less digits than its factorization.

1004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1004112 is about 1002.0538907664. The cubic root of 1004112 is about 100.1368792220.

Adding to 1004112 its reverse (2114001), we get a palindrome (3118113).

The spelling of 1004112 in words is "one million, four thousand, one hundred twelve".