32532 has 12 divisors (see below), whose sum is σ = 75936. Its totient is φ = 10840.

The previous prime is 32531. The next prime is 32533. The reversal of 32532 is 23523.

It is an interprime number because it is at equal distance from previous prime (32531) and next prime (32533).

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

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 32532.

It is not an unprimeable number, because it can be changed into a prime (32531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1344 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (6328).

2³²⁵³² is an apocalyptic number.

It is an amenable number.

32532 is an abundant number, since it is smaller than the sum of its proper divisors (43404).

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 (37968).

32532 is a wasteful number, since it uses less digits than its factorization.

32532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2716 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 32532 is about 180.3662939687. The cubic root of 32532 is about 31.9229919118.

Subtracting from 32532 its reverse (23523), we obtain a palindrome (9009).

The spelling of 32532 in words is "thirty-two thousand, five hundred thirty-two".