84517 has 4 divisors (see below), whose sum is σ = 85120. Its totient is φ = 83916.

The previous prime is 84509. The next prime is 84521. The reversal of 84517 is 71548.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 84517 - 2³ = 84509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84491 and 84500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁸⁴⁵¹⁷ is an apocalyptic number.

It is an amenable number.

84517 is a deficient number, since it is larger than the sum of its proper divisors (603).

84517 is a wasteful number, since it uses less digits than its factorization.

84517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602.

The product of its digits is 1120, while the sum is 25.

The square root of 84517 is about 290.7180764934. The cubic root of 84517 is about 43.8848573507.

It can be divided in two parts, 845 and 17, that multiplied together give a triangular number (14365 = T₁₆₉).

The spelling of 84517 in words is "eighty-four thousand, five hundred seventeen".