1085167777 has 2 divisors, whose sum is σ = 1085167778. Its totient is φ = 1085167776.

The previous prime is 1085167751. The next prime is 1085167801. The reversal of 1085167777 is 7777615801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 575808016 + 509359761 = 23996^2 + 22569^2 .

It is an emirp because it is prime and its reverse (7777615801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1085167777 - 2⁷ = 1085167649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1085167777.

It is not a weakly prime, because it can be changed into another prime (1085167177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542583888 + 542583889.

It is an arithmetic number, because the mean of its divisors is an integer number (542583889).

Almost surely, 2^1085167777 is an apocalyptic number.

It is an amenable number.

1085167777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085167777 is an equidigital number, since it uses as much as digits as its factorization.

1085167777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576240, while the sum is 49.

The square root of 1085167777 is about 32941.8848428562. The cubic root of 1085167777 is about 1027.6194045105.

The spelling of 1085167777 in words is "one billion, eighty-five million, one hundred sixty-seven thousand, seven hundred seventy-seven".