8213413208 has 96 divisors (see below), whose sum is σ = 20833992480. Its totient is φ = 2953843200.

The previous prime is 8213413207. The next prime is 8213413253. The reversal of 8213413208 is 8023143128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213413207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41468 + ... + 134708.

It is an arithmetic number, because the mean of its divisors is an integer number (217020755).

Almost surely, 2^8213413208 is an apocalyptic number.

8213413208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8213413208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416996240).

8213413208 is an abundant number, since it is smaller than the sum of its proper divisors (12620579272).

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

8213413208 is a wasteful number, since it uses less digits than its factorization.

8213413208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93289 (or 93274 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 8213413208 is about 90627.8831706887. The cubic root of 8213413208 is about 2017.6285938076.

The spelling of 8213413208 in words is "eight billion, two hundred thirteen million, four hundred thirteen thousand, two hundred eight".