9782112 has 96 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 2972160.

The previous prime is 9782083. The next prime is 9782117. The reversal of 9782112 is 2112879.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9782112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9782117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56458 + ... + 56630.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 2^9782112 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 9782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

9782112 is an abundant number, since it is smaller than the sum of its proper divisors (18280608).

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

9782112 is a wasteful number, since it uses less digits than its factorization.

9782112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 9782112 is about 3127.6368075593. The cubic root of 9782112 is about 213.8672131655.

The spelling of 9782112 in words is "nine million, seven hundred eighty-two thousand, one hundred twelve".