85819 has 2 divisors, whose sum is σ = 85820. Its totient is φ = 85818.

The previous prime is 85817. The next prime is 85829. The reversal of 85819 is 91858.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 85819 - 2¹ = 85817 is a prime.

It is a super-2 number, since 2×85819² = 14729801522, which contains 22 as substring.

Together with 85817, it forms a pair of twin primes.

It is a Chen prime.

85819 is a lucky number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (85817) 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, 42909 + 42910.

It is an arithmetic number, because the mean of its divisors is an integer number (42910).

2⁸⁵⁸¹⁹ is an apocalyptic number.

85819 is a deficient number, since it is larger than the sum of its proper divisors (1).

85819 is an equidigital number, since it uses as much as digits as its factorization.

85819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 31.

The square root of 85819 is about 292.9488009875. The cubic root of 85819 is about 44.1090614055.

The spelling of 85819 in words is "eighty-five thousand, eight hundred nineteen".