8212008 has 48 divisors (see below), whose sum is σ = 23885280. Its totient is φ = 2345952.

The previous prime is 8211991. The next prime is 8212019. The reversal of 8212008 is 8002128.

8212008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2316 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (497610).

Almost surely, 2^8212008 is an apocalyptic number.

It is an amenable number.

8212008 is an abundant number, since it is smaller than the sum of its proper divisors (15673272).

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

8212008 is a wasteful number, since it uses less digits than its factorization.

8212008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 8212008 is about 2865.6601333724. The cubic root of 8212008 is about 201.7513523922.

It can be divided in two parts, 82 and 12008, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 8212008 in words is "eight million, two hundred twelve thousand, eight".