87617 has 4 divisors (see below), whose sum is σ = 89796. Its totient is φ = 85440.

The previous prime is 87613. The next prime is 87623. The reversal of 87617 is 71678.

It is a Cunningham number, because it is equal to 296²+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71678 = 2 ⋅35839.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 83521 = 64^2 + 289^2 .

It is a cyclic number.

It is not a de Polignac number, because 87617 - 2² = 87613 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 87617.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87617.

It is not an unprimeable number, because it can be changed into a prime (87613) by changing a digit.

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, 1028 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (22449).

2⁸⁷⁶¹⁷ is an apocalyptic number.

It is an amenable number.

87617 is a deficient number, since it is larger than the sum of its proper divisors (2179).

87617 is a wasteful number, since it uses less digits than its factorization.

87617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178.

The product of its digits is 2352, while the sum is 29.

The square root of 87617 is about 296.0016891844. The cubic root of 87617 is about 44.4149788490.

The spelling of 87617 in words is "eighty-seven thousand, six hundred seventeen".