87717 has 8 divisors (see below), whose sum is σ = 133696. Its totient is φ = 50112.

The previous prime is 87701. The next prime is 87719. The reversal of 87717 is 71778.

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

It is not a de Polignac number, because 87717 - 2⁴ = 87701 is a prime.

It is a Duffinian number.

87717 is a lucky number.

It is a zygodrome in base 4.

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 87717.

It is not an unprimeable number, because it can be changed into a prime (87719) 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, 2068 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (16712).

2⁸⁷⁷¹⁷ is an apocalyptic number.

It is an amenable number.

87717 is a deficient number, since it is larger than the sum of its proper divisors (45979).

87717 is a wasteful number, since it uses less digits than its factorization.

87717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187.

The product of its digits is 2744, while the sum is 30.

The square root of 87717 is about 296.1705589690. The cubic root of 87717 is about 44.4318698222.

It can be divided in two parts, 8771 and 7, that added together give a palindrome (8778).

The spelling of 87717 in words is "eighty-seven thousand, seven hundred seventeen".