87300 has 54 divisors (see below), whose sum is σ = 276458. Its totient is φ = 23040.

The previous prime is 87299. The next prime is 87313. The reversal of 87300 is 378.

It can be written as a sum of positive squares in 3 ways, for example, as 4356 + 82944 = 66^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 852 + ... + 948.

2⁸⁷³⁰⁰ 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 87300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138229).

87300 is an abundant number, since it is smaller than the sum of its proper divisors (189158).

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

87300 is a wasteful number, since it uses less digits than its factorization.

87300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 87300 is about 295.4657340539. The cubic root of 87300 is about 44.3613493686.

Adding to 87300 its reverse (378), we get a palindrome (87678).

The spelling of 87300 in words is "eighty-seven thousand, three hundred".