8282112 has 56 divisors (see below), whose sum is σ = 22149816. Its totient is φ = 2752512.

The previous prime is 8282107. The next prime is 8282129. The reversal of 8282112 is 2112828.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24408 + ... + 24744.

Almost surely, 2^8282112 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 8282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074908).

8282112 is an abundant number, since it is smaller than the sum of its proper divisors (13867704).

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

8282112 is an equidigital number, since it uses as much as digits as its factorization.

8282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 8282112 is about 2877.8658759574. The cubic root of 8282112 is about 202.3238278776.

The spelling of 8282112 in words is "eight million, two hundred eighty-two thousand, one hundred twelve".