8532 has 24 divisors (see below), whose sum is σ = 22400. Its totient is φ = 2808.

The previous prime is 8527. The next prime is 8537. The reversal of 8532 is 2358.

It is an interprime number because it is at equal distance from previous prime (8527) and next prime (8537).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8532.

It is not an unprimeable number, because it can be changed into a prime (8537) by changing a digit.

8532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 69 + ... + 147.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200).

8532 is an abundant number, since it is smaller than the sum of its proper divisors (13868).

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

8532 is a wasteful number, since it uses less digits than its factorization.

8532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 8532 is about 92.3688259100. The cubic root of 8532 is about 20.4338538231.

8532 divided by its sum of digits (18) gives a palindrome (474).

The spelling of 8532 in words is "eight thousand, five hundred thirty-two".