87150 has 48 divisors (see below), whose sum is σ = 249984. Its totient is φ = 19680.

The previous prime is 87149. The next prime is 87151. The reversal of 87150 is 5178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87149) and next prime (87151).

It is a Harshad number since it is a multiple of its sum of digits (21).

87150 is a Rhonda number in base 16.

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 87150.

It is not an unprimeable number, because it can be changed into a prime (87151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁸⁷¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

87150 is an abundant number, since it is smaller than the sum of its proper divisors (162834).

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

87150 is a wasteful number, since it uses less digits than its factorization.

87150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 87150 is about 295.2117883825. The cubic root of 87150 is about 44.3359273864.

The spelling of 87150 in words is "eighty-seven thousand, one hundred fifty".