8202112 has 32 divisors (see below), whose sum is σ = 16493400. Its totient is φ = 4062720.

The previous prime is 8202097. The next prime is 8202127. The reversal of 8202112 is 2112028.

It is an interprime number because it is at equal distance from previous prime (8202097) and next prime (8202127).

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17562 + ... + 18022.

Almost surely, 2^8202112 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 8202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246700).

8202112 is an abundant number, since it is smaller than the sum of its proper divisors (8291288).

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

8202112 is a wasteful number, since it uses less digits than its factorization.

8202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 8202112 is about 2863.9329601092. The cubic root of 8202112 is about 201.6702786807.

The spelling of 8202112 in words is "eight million, two hundred two thousand, one hundred twelve".