87032 has 32 divisors (see below), whose sum is σ = 190080. Its totient is φ = 36960.

The previous prime is 87013. The next prime is 87037. The reversal of 87032 is 23078.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 86995 and 87013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87032.

It is not an unprimeable number, because it can be changed into a prime (87037) by changing a digit.

87032 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, 2003 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (5940).

2⁸⁷⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040).

87032 is an abundant number, since it is smaller than the sum of its proper divisors (103048).

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

87032 is a wasteful number, since it uses less digits than its factorization.

87032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 87032 is about 295.0118641682. The cubic root of 87032 is about 44.3159082531.

The spelling of 87032 in words is "eighty-seven thousand, thirty-two".