86535 has 16 divisors (see below), whose sum is σ = 154080. Its totient is φ = 46080.

The previous prime is 86533. The next prime is 86539. The reversal of 86535 is 53568.

86535 is a `hidden beast` number, since 8 + 653 + 5 = 666.

It is not a de Polignac number, because 86535 - 2¹ = 86533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 86499 and 86508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86531) 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, 186 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (9630).

2⁸⁶⁵³⁵ is an apocalyptic number.

86535 is a deficient number, since it is larger than the sum of its proper divisors (67545).

86535 is a wasteful number, since it uses less digits than its factorization.

86535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 86535 is about 294.1683191644. The cubic root of 86535 is about 44.2313911987.

It can be divided in two parts, 865 and 35, that added together give a square (900 = 30²).

The spelling of 86535 in words is "eighty-six thousand, five hundred thirty-five".