85152209 has 2 divisors, whose sum is σ = 85152210. Its totient is φ = 85152208.

The previous prime is 85152143. The next prime is 85152211. The reversal of 85152209 is 90225158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78145600 + 7006609 = 8840^2 + 2647^2 .

It is a cyclic number.

It is not a de Polignac number, because 85152209 - 2²⁴ = 68374993 is a prime.

Together with 85152211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85152229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42576104 + 42576105.

It is an arithmetic number, because the mean of its divisors is an integer number (42576105).

Almost surely, 2^85152209 is an apocalyptic number.

It is an amenable number.

85152209 is a deficient number, since it is larger than the sum of its proper divisors (1).

85152209 is an equidigital number, since it uses as much as digits as its factorization.

85152209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 85152209 is about 9227.7954572043. The cubic root of 85152209 is about 439.9452566190.

The spelling of 85152209 in words is "eighty-five million, one hundred fifty-two thousand, two hundred nine".