87132 has 24 divisors (see below), whose sum is σ = 208656. Its totient is φ = 28288.

The previous prime is 87121. The next prime is 87133. The reversal of 87132 is 23178.

It is a junction number, because it is equal to n+sod(n) for n = 87099 and 87108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87133) by changing a digit.

87132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (8694).

2⁸⁷¹³² is an apocalyptic number.

It is an amenable number.

87132 is an abundant number, since it is smaller than the sum of its proper divisors (121524).

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 (104328).

87132 is a wasteful number, since it uses less digits than its factorization.

87132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 87132 is about 295.1813002207. The cubic root of 87132 is about 44.3328747888.

Adding to 87132 its sum of digits (21), we get a triangular number (87153 = T₄₁₇).

It can be divided in two parts, 871 and 32, that multiplied together give a palindrome (27872).

The spelling of 87132 in words is "eighty-seven thousand, one hundred thirty-two".