85009 has 2 divisors, whose sum is σ = 85010. Its totient is φ = 85008.

The previous prime is 84991. The next prime is 85021. The reversal of 85009 is 90058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 11025 = 272^2 + 105^2 .

It is a cyclic number.

It is not a de Polignac number, because 85009 - 2⁵ = 84977 is a prime.

85009 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (85049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42504 + 42505.

It is an arithmetic number, because the mean of its divisors is an integer number (42505).

2⁸⁵⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

85009 is a deficient number, since it is larger than the sum of its proper divisors (1).

85009 is an equidigital number, since it uses as much as digits as its factorization.

85009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 85009 is about 291.5630292064. The cubic root of 85009 is about 43.9698484891.

The spelling of 85009 in words is "eighty-five thousand, nine".