32535 has 16 divisors (see below), whose sum is σ = 58080. Its totient is φ = 17280.

The previous prime is 32533. The next prime is 32537. The reversal of 32535 is 53523.

It is an interprime number because it is at equal distance from previous prime (32533) and next prime (32537).

It is not a de Polignac number, because 32535 - 2¹ = 32533 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 15.

It is a zygodrome in base 14.

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 32535.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (3630).

2³²⁵³⁵ is an apocalyptic number.

32535 is a deficient number, since it is larger than the sum of its proper divisors (25545).

32535 is a wasteful number, since it uses less digits than its factorization.

32535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

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

The square root of 32535 is about 180.3746101867. The cubic root of 32535 is about 31.9239731614.

The spelling of 32535 in words is "thirty-two thousand, five hundred thirty-five".