1007112 has 32 divisors (see below), whose sum is σ = 2606400. Its totient is φ = 323904.

The previous prime is 1007099. The next prime is 1007117. The reversal of 1007112 is 2117001.

1007112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (81450).

2^1007112 is an apocalyptic number.

1007112 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 1007112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303200).

1007112 is an abundant number, since it is smaller than the sum of its proper divisors (1599288).

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

1007112 is a wasteful number, since it uses less digits than its factorization.

1007112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1007112 is about 1003.5496998156. The cubic root of 1007112 is about 100.2365068707.

The spelling of 1007112 in words is "one million, seven thousand, one hundred twelve".