8003214813 has 32 divisors (see below), whose sum is σ = 11717521920. Its totient is φ = 4818680640.

The previous prime is 8003214781. The next prime is 8003214839. The reversal of 8003214813 is 3184123008.

It is not a de Polignac number, because 8003214813 - 2⁵ = 8003214781 is a prime.

It is a super-3 number, since 3×8003214813³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003214853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3631770 + ... + 3633972.

It is an arithmetic number, because the mean of its divisors is an integer number (366172560).

Almost surely, 2^8003214813 is an apocalyptic number.

It is an amenable number.

8003214813 is a deficient number, since it is larger than the sum of its proper divisors (3714307107).

8003214813 is a wasteful number, since it uses less digits than its factorization.

8003214813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8003214813 is about 89460.6886459075. The cubic root of 8003214813 is about 2000.2678652058.

The spelling of 8003214813 in words is "eight billion, three million, two hundred fourteen thousand, eight hundred thirteen".