87534 has 16 divisors (see below), whose sum is σ = 194640. Its totient is φ = 29160.

The previous prime is 87523. The next prime is 87539. The reversal of 87534 is 43578.

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

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 87498 and 87507.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (12165).

2⁸⁷⁵³⁴ is an apocalyptic number.

87534 is an abundant number, since it is smaller than the sum of its proper divisors (107106).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97320).

87534 is a wasteful number, since it uses less digits than its factorization.

87534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 87534 is about 295.8614540625. The cubic root of 87534 is about 44.4009495779.

Subtracting from 87534 its reverse (43578), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 875 and 34, that added together give a palindrome (909).

The spelling of 87534 in words is "eighty-seven thousand, five hundred thirty-four".