85889 has 2 divisors, whose sum is σ = 85890. Its totient is φ = 85888.

The previous prime is 85853. The next prime is 85903. The reversal of 85889 is 98858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 625 = 292^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 85889 - 2¹⁶ = 20353 is a prime.

It is a Chen prime.

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, 42944 + 42945.

It is an arithmetic number, because the mean of its divisors is an integer number (42945).

2⁸⁵⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

85889 is a deficient number, since it is larger than the sum of its proper divisors (1).

85889 is an equidigital number, since it uses as much as digits as its factorization.

85889 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23040, while the sum is 38.

The square root of 85889 is about 293.0682514364. The cubic root of 85889 is about 44.1210509618.

The spelling of 85889 in words is "eighty-five thousand, eight hundred eighty-nine".