8002082067 has 16 divisors (see below), whose sum is σ = 12225834240. Its totient is φ = 4560548832.

The previous prime is 8002082059. The next prime is 8002082069. The reversal of 8002082067 is 7602802008.

It is not a de Polignac number, because 8002082067 - 2³ = 8002082059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8002082069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494748 + ... + 510665.

It is an arithmetic number, because the mean of its divisors is an integer number (764114640).

Almost surely, 2^8002082067 is an apocalyptic number.

8002082067 is a deficient number, since it is larger than the sum of its proper divisors (4223752173).

8002082067 is a wasteful number, since it uses less digits than its factorization.

8002082067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005802.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8002082067 is about 89454.3574511605. The cubic root of 8002082067 is about 2000.1734905334.

The spelling of 8002082067 in words is "eight billion, two million, eighty-two thousand, sixty-seven".