87000 has 64 divisors (see below), whose sum is σ = 280800. Its totient is φ = 22400.

The previous prime is 86993. The next prime is 87011. The reversal of 87000 is 78.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

87000 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 15 ways as a sum of consecutive naturals, for example, 2986 + ... + 3014.

2⁸⁷⁰⁰⁰ 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 87000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

87000 is an abundant number, since it is smaller than the sum of its proper divisors (193800).

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

87000 is a wasteful number, since it uses less digits than its factorization.

87000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 87000 is about 294.9576240751. The cubic root of 87000 is about 44.3104762169.

Adding to 87000 its reverse (78), we get a palindrome (87078).

The spelling of 87000 in words is "eighty-seven thousand".