87535 has 16 divisors (see below), whose sum is σ = 124992. Its totient is φ = 57600.

The previous prime is 87523. The next prime is 87539. The reversal of 87535 is 53578.

It is not a de Polignac number, because 87535 - 2⁷ = 87407 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405 + ... + 1465.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁸⁷⁵³⁵ is an apocalyptic number.

87535 is a deficient number, since it is larger than the sum of its proper divisors (37457).

87535 is a wasteful number, since it uses less digits than its factorization.

87535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

The product of its digits is 4200, while the sum is 28.

The square root of 87535 is about 295.8631440379. The cubic root of 87535 is about 44.4011186581.

It can be divided in two parts, 875 and 35, that multiplied together give a square (30625 = 175²).

The spelling of 87535 in words is "eighty-seven thousand, five hundred thirty-five".