35532 has 48 divisors (see below), whose sum is σ = 107520. Its totient is φ = 9936.

The previous prime is 35531. The next prime is 35533. The reversal of 35532 is 23553.

35532 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (35531) and next prime (35533).

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

It is a plaindrome in base 16.

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 35532.

It is not an unprimeable number, because it can be changed into a prime (35531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2³⁵⁵³² is an apocalyptic number.

It is a pronic number, being equal to 188×189.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

35532 is an abundant number, since it is smaller than the sum of its proper divisors (71988).

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

35532 is a wasteful number, since it uses less digits than its factorization.

35532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 35532 is about 188.4993368689. The cubic root of 35532 is about 32.8755644291.

The spelling of 35532 in words is "thirty-five thousand, five hundred thirty-two".