85755209 has 2 divisors, whose sum is σ = 85755210. Its totient is φ = 85755208.

The previous prime is 85755181. The next prime is 85755223. The reversal of 85755209 is 90255758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60403984 + 25351225 = 7772^2 + 5035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85755209 is a prime.

It is a Chen prime.

It is equal to p_4985069 and since 85755209 and 4985069 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85755239) 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, 42877604 + 42877605.

It is an arithmetic number, because the mean of its divisors is an integer number (42877605).

Almost surely, 2^85755209 is an apocalyptic number.

It is an amenable number.

85755209 is a deficient number, since it is larger than the sum of its proper divisors (1).

85755209 is an equidigital number, since it uses as much as digits as its factorization.

85755209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126000, while the sum is 41.

The square root of 85755209 is about 9260.4108440177. The cubic root of 85755209 is about 440.9812964372.

The spelling of 85755209 in words is "eighty-five million, seven hundred fifty-five thousand, two hundred nine".