7984005101 has 2 divisors, whose sum is σ = 7984005102. Its totient is φ = 7984005100.

The previous prime is 7984005089. The next prime is 7984005121. The reversal of 7984005101 is 1015004897.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7851732100 + 132273001 = 88610^2 + 11501^2 .

It is a cyclic number.

It is not a de Polignac number, because 7984005101 - 2²⁶ = 7916896237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7984005121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3992002550 + 3992002551.

It is an arithmetic number, because the mean of its divisors is an integer number (3992002551).

Almost surely, 2^7984005101 is an apocalyptic number.

It is an amenable number.

7984005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

7984005101 is an equidigital number, since it uses as much as digits as its factorization.

7984005101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 7984005101 is about 89353.2601587653. The cubic root of 7984005101 is about 1998.6662024398. Note that the first 3 decimals are identical.

Adding to 7984005101 its reverse (1015004897), we get a palindrome (8999009998).

The spelling of 7984005101 in words is "seven billion, nine hundred eighty-four million, five thousand, one hundred one".