108585857 has 2 divisors, whose sum is σ = 108585858. Its totient is φ = 108585856.

The previous prime is 108585833. The next prime is 108585859. The reversal of 108585857 is 758585801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74666881 + 33918976 = 8641^2 + 5824^2 .

It is a cyclic number.

It is not a de Polignac number, because 108585857 - 2¹² = 108581761 is a prime.

Together with 108585859, 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 (108585859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54292928 + 54292929.

It is an arithmetic number, because the mean of its divisors is an integer number (54292929).

Almost surely, 2^108585857 is an apocalyptic number.

It is an amenable number.

108585857 is a deficient number, since it is larger than the sum of its proper divisors (1).

108585857 is an equidigital number, since it uses as much as digits as its factorization.

108585857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448000, while the sum is 47.

The square root of 108585857 is about 10420.4537809061. The cubic root of 108585857 is about 477.0798650897.

The spelling of 108585857 in words is "one hundred eight million, five hundred eighty-five thousand, eight hundred fifty-seven".