1085564177 has 2 divisors, whose sum is σ = 1085564178. Its totient is φ = 1085564176.

The previous prime is 1085564173. The next prime is 1085564191. The reversal of 1085564177 is 7714655801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 899760016 + 185804161 = 29996^2 + 13631^2 .

It is an emirp because it is prime and its reverse (7714655801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1085564177 - 2² = 1085564173 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085564171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542782088 + 542782089.

It is an arithmetic number, because the mean of its divisors is an integer number (542782089).

Almost surely, 2^1085564177 is an apocalyptic number.

It is an amenable number.

1085564177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085564177 is an equidigital number, since it uses as much as digits as its factorization.

1085564177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235200, while the sum is 44.

The square root of 1085564177 is about 32947.9009498329. The cubic root of 1085564177 is about 1027.7445153461.

The spelling of 1085564177 in words is "one billion, eighty-five million, five hundred sixty-four thousand, one hundred seventy-seven".