8202012 has 144 divisors (see below), whose sum is σ = 25472160. Its totient is φ = 2032128.

The previous prime is 8201989. The next prime is 8202013. The reversal of 8202012 is 2102028.

It is a junction number, because it is equal to n+sod(n) for n = 8201982 and 8202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221658 + ... + 221694.

It is an arithmetic number, because the mean of its divisors is an integer number (176890).

Almost surely, 2^8202012 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 8202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736080).

8202012 is an abundant number, since it is smaller than the sum of its proper divisors (17270148).

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

8202012 is a wasteful number, since it uses less digits than its factorization.

8202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8202012 is about 2863.9155015468. The cubic root of 8202012 is about 201.6694590906.

The spelling of 8202012 in words is "eight million, two hundred two thousand, twelve".