84861517 has 16 divisors (see below), whose sum is σ = 93103920. Its totient is φ = 76879872.

The previous prime is 84861503. The next prime is 84861541. The reversal of 84861517 is 71516848.

It can be written as a sum of positive squares in 8 ways, for example, as 1212201 + 83649316 = 1101^2 + 9146^2 .

It is not a de Polignac number, because 84861517 - 2⁷ = 84861389 is a prime.

It is a super-3 number, since 3×84861517³ (a number of 25 digits) contains 333 as substring.

Its product of digits (53760) is a multiple of the sum of its prime divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 84861517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84861577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217959 + ... + 218347.

It is an arithmetic number, because the mean of its divisors is an integer number (5818995).

Almost surely, 2^84861517 is an apocalyptic number.

It is an amenable number.

84861517 is a deficient number, since it is larger than the sum of its proper divisors (8242403).

84861517 is a wasteful number, since it uses less digits than its factorization.

84861517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its digits is 53760, while the sum is 40.

The square root of 84861517 is about 9212.0311006857. The cubic root of 84861517 is about 439.4440585369. Note that the first 3 decimals are identical.

The spelling of 84861517 in words is "eighty-four million, eight hundred sixty-one thousand, five hundred seventeen".