84516 has 12 divisors (see below), whose sum is σ = 197232. Its totient is φ = 28168.

The previous prime is 84509. The next prime is 84521. The reversal of 84516 is 61548.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

84516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3510 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (16436).

2⁸⁴⁵¹⁶ is an apocalyptic number.

It is an amenable number.

84516 is an abundant number, since it is smaller than the sum of its proper divisors (112716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98616).

84516 is a wasteful number, since it uses less digits than its factorization.

84516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7048 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 84516 is about 290.7163566090. The cubic root of 84516 is about 43.8846842691.

It can be divided in two parts, 845 and 16, that added together give a triangular number (861 = T₄₁).

The spelling of 84516 in words is "eighty-four thousand, five hundred sixteen".