87330 has 32 divisors (see below), whose sum is σ = 217728. Its totient is φ = 22400.

The previous prime is 87323. The next prime is 87337. The reversal of 87330 is 3378.

It is an interprime number because it is at equal distance from previous prime (87323) and next prime (87337).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 87297 and 87306.

It is not an unprimeable number, because it can be changed into a prime (87337) by changing a digit.

87330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁸⁷³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

87330 is an abundant number, since it is smaller than the sum of its proper divisors (130398).

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

87330 is a wasteful number, since it uses less digits than its factorization.

87330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 87330 is about 295.5164970014. The cubic root of 87330 is about 44.3664302700.

It can be divided in two parts, 873 and 30, that added together give a triangular number (903 = T₄₂).

The spelling of 87330 in words is "eighty-seven thousand, three hundred thirty".