85517 has 2 divisors, whose sum is σ = 85518. Its totient is φ = 85516.

The previous prime is 85513. The next prime is 85523. The reversal of 85517 is 71558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 3721 = 286^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 85517 - 2² = 85513 is a 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 85517.

It is not a weakly prime, because it can be changed into another prime (85513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42758 + 42759.

It is an arithmetic number, because the mean of its divisors is an integer number (42759).

2⁸⁵⁵¹⁷ is an apocalyptic number.

It is an amenable number.

85517 is a deficient number, since it is larger than the sum of its proper divisors (1).

85517 is an equidigital number, since it uses as much as digits as its factorization.

85517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1400, while the sum is 26.

The square root of 85517 is about 292.4328982861. The cubic root of 85517 is about 44.0572601619.

Subtracting from 85517 its sum of digits (26), we obtain a triangular number (85491 = T₄₁₃).

It can be divided in two parts, 8551 and 7, that added together give a palindrome (8558).

The spelling of 85517 in words is "eighty-five thousand, five hundred seventeen".