87306 has 8 divisors (see below), whose sum is σ = 174624. Its totient is φ = 29100.

The previous prime is 87299. The next prime is 87313. The reversal of 87306 is 60378.

It is an interprime number because it is at equal distance from previous prime (87299) and next prime (87313).

It is a sphenic number, since it is the product of 3 distinct primes.

87306 is an admirable number.

It is a Curzon number.

It is a zygodrome in base 4.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 7270 + ... + 7281.

It is an arithmetic number, because the mean of its divisors is an integer number (21828).

2⁸⁷³⁰⁶ is an apocalyptic number.

87306 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87312).

87306 is a wasteful number, since it uses less digits than its factorization.

87306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14556.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 87306 is about 295.4758873411. The cubic root of 87306 is about 44.3623656420.

It can be divided in two parts, 87 and 306, that added together give a palindrome (393).

The spelling of 87306 in words is "eighty-seven thousand, three hundred six".