2000084137 has 2 divisors, whose sum is σ = 2000084138. Its totient is φ = 2000084136.

The previous prime is 2000084123. The next prime is 2000084189. The reversal of 2000084137 is 7314800002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1953993616 + 46090521 = 44204^2 + 6789^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000084137 - 2¹¹ = 2000082089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000084197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000042068 + 1000042069.

It is an arithmetic number, because the mean of its divisors is an integer number (1000042069).

Almost surely, 2^2000084137 is an apocalyptic number.

It is an amenable number.

2000084137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000084137 is an equidigital number, since it uses as much as digits as its factorization.

2000084137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2000084137 is about 44722.3002203599. The cubic root of 2000084137 is about 1259.9387173100.

Adding to 2000084137 its reverse (7314800002), we get a palindrome (9314884139).

The spelling of 2000084137 in words is "two billion, eighty-four thousand, one hundred thirty-seven".