86532 has 12 divisors (see below), whose sum is σ = 201936. Its totient is φ = 28840.

The previous prime is 86531. The next prime is 86533. The reversal of 86532 is 23568.

It is an interprime number because it is at equal distance from previous prime (86531) and next prime (86533).

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (86531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3594 + ... + 3617.

It is an arithmetic number, because the mean of its divisors is an integer number (16828).

2⁸⁶⁵³² is an apocalyptic number.

It is an amenable number.

86532 is an abundant number, since it is smaller than the sum of its proper divisors (115404).

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 (100968).

86532 is a wasteful number, since it uses less digits than its factorization.

86532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7216 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 86532 is about 294.1632199987. The cubic root of 86532 is about 44.2308800540.

The spelling of 86532 in words is "eighty-six thousand, five hundred thirty-two".