85013777 has 2 divisors, whose sum is σ = 85013778. Its totient is φ = 85013776.

The previous prime is 85013743. The next prime is 85013783. The reversal of 85013777 is 77731058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46771921 + 38241856 = 6839^2 + 6184^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85013777 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85013777.

It is not a weakly prime, because it can be changed into another prime (85013707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42506888 + 42506889.

It is an arithmetic number, because the mean of its divisors is an integer number (42506889).

Almost surely, 2^85013777 is an apocalyptic number.

It is an amenable number.

85013777 is a deficient number, since it is larger than the sum of its proper divisors (1).

85013777 is an equidigital number, since it uses as much as digits as its factorization.

85013777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 85013777 is about 9220.2915897492. The cubic root of 85013777 is about 439.7067208825.

The spelling of 85013777 in words is "eighty-five million, thirteen thousand, seven hundred seventy-seven".