87315 has 8 divisors (see below), whose sum is σ = 139728. Its totient is φ = 46560.

The previous prime is 87313. The next prime is 87317. The reversal of 87315 is 51378.

It is an interprime number because it is at equal distance from previous prime (87313) and next prime (87317).

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

It is not a de Polignac number, because 87315 - 2¹ = 87313 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (87313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2896 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (17466).

2⁸⁷³¹⁵ is an apocalyptic number.

87315 is a deficient number, since it is larger than the sum of its proper divisors (52413).

87315 is a wasteful number, since it uses less digits than its factorization.

87315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829.

The product of its digits is 840, while the sum is 24.

The square root of 87315 is about 295.4911166177. The cubic root of 87315 is about 44.3638899648.

Subtracting from 87315 its reverse (51378), we obtain a cube (35937 = 33³).

It can be divided in two parts, 873 and 15, that added together give a palindrome (888).

The spelling of 87315 in words is "eighty-seven thousand, three hundred fifteen".