87517 has 2 divisors, whose sum is σ = 87518. Its totient is φ = 87516.

The previous prime is 87511. The next prime is 87523. The reversal of 87517 is 71578.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (87511) and next prime (87523).

It can be written as a sum of positive squares in only one way, i.e., 54756 + 32761 = 234^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 87517 - 2³ = 87509 is a prime.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87511) 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, 43758 + 43759.

It is an arithmetic number, because the mean of its divisors is an integer number (43759).

2⁸⁷⁵¹⁷ is an apocalyptic number.

It is an amenable number.

87517 is a deficient number, since it is larger than the sum of its proper divisors (1).

87517 is an equidigital number, since it uses as much as digits as its factorization.

87517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1960, while the sum is 28.

The square root of 87517 is about 295.8327230041. The cubic root of 87517 is about 44.3980750187.

The spelling of 87517 in words is "eighty-seven thousand, five hundred seventeen".