8210112 has 56 divisors (see below), whose sum is σ = 22110192. Its totient is φ = 2688000.

The previous prime is 8210107. The next prime is 8210117. The reversal of 8210112 is 2110128.

It is an interprime number because it is at equal distance from previous prime (8210107) and next prime (8210117).

It is a junction number, because it is equal to n+sod(n) for n = 8210091 and 8210100.

It is not an unprimeable number, because it can be changed into a prime (8210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11362 + ... + 12062.

Almost surely, 2^8210112 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 8210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055096).

8210112 is an abundant number, since it is smaller than the sum of its proper divisors (13900080).

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

8210112 is a wasteful number, since it uses less digits than its factorization.

8210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 8210112 is about 2865.3293004470. The cubic root of 8210112 is about 201.7358243181.

The spelling of 8210112 in words is "eight million, two hundred ten thousand, one hundred twelve".