83008002 has 32 divisors (see below), whose sum is σ = 206982144. Its totient is φ = 21560400.

The previous prime is 83008001. The next prime is 83008031. The reversal of 83008002 is 20080038.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 83008002.

It is not an unprimeable number, because it can be changed into a prime (83008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89374 + ... + 90297.

It is an arithmetic number, because the mean of its divisors is an integer number (6468192).

Almost surely, 2^83008002 is an apocalyptic number.

83008002 is an abundant number, since it is smaller than the sum of its proper divisors (123974142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83008002 is a wasteful number, since it uses less digits than its factorization.

83008002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179694.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83008002 is about 9110.8727353640. The cubic root of 83008002 is about 436.2210848836.

The spelling of 83008002 in words is "eighty-three million, eight thousand, two".