1085857 has 2 divisors, whose sum is σ = 1085858. Its totient is φ = 1085856.

The previous prime is 1085827. The next prime is 1085863. The reversal of 1085857 is 7585801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008016 + 77841 = 1004^2 + 279^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085857 - 2¹¹ = 1083809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542928 + 542929.

It is an arithmetic number, because the mean of its divisors is an integer number (542929).

2^1085857 is an apocalyptic number.

It is an amenable number.

1085857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085857 is an equidigital number, since it uses as much as digits as its factorization.

1085857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 34.

The square root of 1085857 is about 1042.0446247642. The cubic root of 1085857 is about 102.7836915895.

The spelling of 1085857 in words is "one million, eighty-five thousand, eight hundred fifty-seven".