8082165001 has 2 divisors, whose sum is σ = 8082165002. Its totient is φ = 8082165000.

The previous prime is 8082164999. The next prime is 8082165019. The reversal of 8082165001 is 1005612808.

8082165001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7214803600 + 867361401 = 84940^2 + 29451^2 .

It is a cyclic number.

It is not a de Polignac number, because 8082165001 - 2¹ = 8082164999 is a prime.

It is a super-2 number, since 2×8082165001² (a number of 21 digits) contains 22 as substring.

Together with 8082164999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8082165101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4041082500 + 4041082501.

It is an arithmetic number, because the mean of its divisors is an integer number (4041082501).

Almost surely, 2^8082165001 is an apocalyptic number.

It is an amenable number.

8082165001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8082165001 is an equidigital number, since it uses as much as digits as its factorization.

8082165001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 8082165001 is about 89900.8620703940. The cubic root of 8082165001 is about 2006.8237749857.

Adding to 8082165001 its reverse (1005612808), we get a palindrome (9087777809).

The spelling of 8082165001 in words is "eight billion, eighty-two million, one hundred sixty-five thousand, one".