86484 has 12 divisors (see below), whose sum is σ = 201824. Its totient is φ = 28824.

The previous prime is 86477. The next prime is 86491. The reversal of 86484 is 48468.

It is an interprime number because it is at equal distance from previous prime (86477) and next prime (86491).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3592 + ... + 3615.

2⁸⁶⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

86484 is an abundant number, since it is smaller than the sum of its proper divisors (115340).

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 (100912).

86484 is a wasteful number, since it uses less digits than its factorization.

86484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7212 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 86484 is about 294.0816213231. The cubic root of 86484 is about 44.2227001324. Note that the first 3 decimals are identical.

The spelling of 86484 in words is "eighty-six thousand, four hundred eighty-four".