8003982215161 has 9 divisors (see below), whose sum is σ = 8226260234031. Its totient is φ = 7787556522792.

The previous prime is 8003982215137. The next prime is 8003982215171. The reversal of 8003982215161 is 1615122893008.

The square root of 8003982215161 is 2829131.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7162073202025 + 841909013136 = 2676205^2 + 917556^2 .

It is not a de Polignac number, because 8003982215161 - 2²³ = 8003973826553 is a prime.

It is a super-2 number, since 2×8003982215161² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8003982215171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104639616 + ... + 104716078.

Almost surely, 2^{8003982215161} is an apocalyptic number.

8003982215161 is the 2829131-st square number.

8003982215161 is the 1414566-th centered octagonal number.

It is an amenable number.

8003982215161 is a deficient number, since it is larger than the sum of its proper divisors (222278018870).

8003982215161 is an frugal number, since it uses more digits than its factorization.

8003982215161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153000 (or 76500 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 8003982215161 in words is "eight trillion, three billion, nine hundred eighty-two million, two hundred fifteen thousand, one hundred sixty-one".