84128517 has 32 divisors (see below), whose sum is σ = 137147520. Its totient is φ = 50965200.

The previous prime is 84128509. The next prime is 84128531. The reversal of 84128517 is 71582148.

84128517 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 84128517 - 2³ = 84128509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84128537) 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 31 ways as a sum of consecutive naturals, for example, 34767 + ... + 37107.

It is an arithmetic number, because the mean of its divisors is an integer number (4285860).

Almost surely, 2^84128517 is an apocalyptic number.

It is an amenable number.

84128517 is a deficient number, since it is larger than the sum of its proper divisors (53019003).

84128517 is a wasteful number, since it uses less digits than its factorization.

84128517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2355 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 84128517 is about 9172.1598873984. The cubic root of 84128517 is about 438.1751504420.

The spelling of 84128517 in words is "eighty-four million, one hundred twenty-eight thousand, five hundred seventeen".