8208118321 has 16 divisors (see below), whose sum is σ = 9129725136. Its totient is φ = 7331890176.

The previous prime is 8208118309. The next prime is 8208118333. The reversal of 8208118321 is 1238118028.

It is an interprime number because it is at equal distance from previous prime (8208118309) and next prime (8208118333).

It can be written as a sum of positive squares in 8 ways, for example, as 611078400 + 7597039921 = 24720^2 + 87161^2 .

It is not a de Polignac number, because 8208118321 - 2¹³ = 8208110129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8208118621) 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 15 ways as a sum of consecutive naturals, for example, 31300 + ... + 131893.

It is an arithmetic number, because the mean of its divisors is an integer number (570607821).

Almost surely, 2^8208118321 is an apocalyptic number.

It is an amenable number.

8208118321 is a deficient number, since it is larger than the sum of its proper divisors (921606815).

8208118321 is a wasteful number, since it uses less digits than its factorization.

8208118321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163332.

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 8208118321 is about 90598.6662208666. Note that the first 3 decimals coincide. The cubic root of 8208118321 is about 2017.1949368274.

The spelling of 8208118321 in words is "eight billion, two hundred eight million, one hundred eighteen thousand, three hundred twenty-one".