8535 has 8 divisors (see below), whose sum is σ = 13680. Its totient is φ = 4544.

The previous prime is 8527. The next prime is 8537. The reversal of 8535 is 5358.

8535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8535 - 2³ = 8527 is a prime.

8535 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8537) 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 7 ways as a sum of consecutive naturals, for example, 270 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁸⁵³⁵ is an apocalyptic number.

8535 is a deficient number, since it is larger than the sum of its proper divisors (5145).

8535 is a wasteful number, since it uses less digits than its factorization.

8535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its digits is 600, while the sum is 21.

The square root of 8535 is about 92.3850637279. The cubic root of 8535 is about 20.4362485089.

It can be divided in two parts, 853 and 5, that added together give a palindrome (858).

The spelling of 8535 in words is "eight thousand, five hundred thirty-five".