85109 has 2 divisors, whose sum is σ = 85110. Its totient is φ = 85108.

The previous prime is 85103. The next prime is 85121. The reversal of 85109 is 90158.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 14884 = 265^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 85109 - 2⁴ = 85093 is a prime.

It is a Chen 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 85109.

It is not a weakly prime, because it can be changed into another prime (85103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42554 + 42555.

It is an arithmetic number, because the mean of its divisors is an integer number (42555).

2⁸⁵¹⁰⁹ is an apocalyptic number.

It is an amenable number.

85109 is a deficient number, since it is larger than the sum of its proper divisors (1).

85109 is an equidigital number, since it uses as much as digits as its factorization.

85109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 85109 is about 291.7344683098. The cubic root of 85109 is about 43.9870829852.

The spelling of 85109 in words is "eighty-five thousand, one hundred nine".