85297117 has 2 divisors, whose sum is σ = 85297118. Its totient is φ = 85297116.

The previous prime is 85297073. The next prime is 85297129. The reversal of 85297117 is 71179258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72829156 + 12467961 = 8534^2 + 3531^2 .

It is a cyclic number.

It is not a de Polignac number, because 85297117 - 2²³ = 76908509 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85297117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85297217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42648558 + 42648559.

It is an arithmetic number, because the mean of its divisors is an integer number (42648559).

Almost surely, 2^85297117 is an apocalyptic number.

It is an amenable number.

85297117 is a deficient number, since it is larger than the sum of its proper divisors (1).

85297117 is an equidigital number, since it uses as much as digits as its factorization.

85297117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 40.

The square root of 85297117 is about 9235.6438324569. The cubic root of 85297117 is about 440.1946745300.

It can be divided in two parts, 852 and 97117, that added together give a square (97969 = 313²).

The spelling of 85297117 in words is "eighty-five million, two hundred ninety-seven thousand, one hundred seventeen".