87917 has 2 divisors, whose sum is σ = 87918. Its totient is φ = 87916.

The previous prime is 87911. The next prime is 87931. The reversal of 87917 is 71978.

Added to its reverse (71978) it gives a triangular number (159895 = T₅₆₅).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 17161 = 266^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 87917 - 2⁶ = 87853 is a prime.

It is a Chen prime.

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 87917.

It is not a weakly prime, because it can be changed into another prime (87911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43958 + 43959.

It is an arithmetic number, because the mean of its divisors is an integer number (43959).

2⁸⁷⁹¹⁷ is an apocalyptic number.

It is an amenable number.

87917 is a deficient number, since it is larger than the sum of its proper divisors (1).

87917 is an equidigital number, since it uses as much as digits as its factorization.

87917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 32.

The square root of 87917 is about 296.5080100098. The cubic root of 87917 is about 44.4656132953.

Adding to 87917 its reverse (71978), we get a triangular number (159895 = T₅₆₅).

It can be divided in two parts, 8 and 7917, that multiplied together give a palindrome (63336).

The spelling of 87917 in words is "eighty-seven thousand, nine hundred seventeen".