1085985577 has 2 divisors, whose sum is σ = 1085985578. Its totient is φ = 1085985576.

The previous prime is 1085985553. The next prime is 1085985599. The reversal of 1085985577 is 7755895801.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1085109481 + 876096 = 32941^2 + 936^2 .

It is an emirp because it is prime and its reverse (7755895801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1085985577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085985877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542992788 + 542992789.

It is an arithmetic number, because the mean of its divisors is an integer number (542992789).

Almost surely, 2^1085985577 is an apocalyptic number.

It is an amenable number.

1085985577 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085985577 is an equidigital number, since it uses as much as digits as its factorization.

1085985577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528000, while the sum is 55.

The square root of 1085985577 is about 32954.2952739093. The cubic root of 1085985577 is about 1027.8774832290.

The spelling of 1085985577 in words is "one billion, eighty-five million, nine hundred eighty-five thousand, five hundred seventy-seven".