84708 has 36 divisors (see below), whose sum is σ = 231868. Its totient is φ = 25920.

The previous prime is 84701. The next prime is 84713. The reversal of 84708 is 80748.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 79524 = 72^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (84701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378 + ... + 558.

2⁸⁴⁷⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115934).

84708 is an abundant number, since it is smaller than the sum of its proper divisors (147160).

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

84708 is a wasteful number, since it uses less digits than its factorization.

84708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84708 is about 291.0463880552. The cubic root of 84708 is about 43.9178909475.

Subtracting from 84708 its sum of digits (27), we obtain a square (84681 = 291²).

The spelling of 84708 in words is "eighty-four thousand, seven hundred eight".