85817 has 2 divisors, whose sum is σ = 85818. Its totient is φ = 85816.

The previous prime is 85793. The next prime is 85819. The reversal of 85817 is 71858.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 13456 = 269^2 + 116^2 .

It is a cyclic number.

It is not a de Polignac number, because 85817 - 2¹⁰ = 84793 is a prime.

Together with 85819, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 85817.

It is not a weakly prime, because it can be changed into another prime (85819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42908 + 42909.

It is an arithmetic number, because the mean of its divisors is an integer number (42909).

2⁸⁵⁸¹⁷ is an apocalyptic number.

It is an amenable number.

85817 is a deficient number, since it is larger than the sum of its proper divisors (1).

85817 is an equidigital number, since it uses as much as digits as its factorization.

85817 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2240, while the sum is 29.

The square root of 85817 is about 292.9453874018. The cubic root of 85817 is about 44.1087187510.

The spelling of 85817 in words is "eighty-five thousand, eight hundred seventeen".