85936777 has 2 divisors, whose sum is σ = 85936778. Its totient is φ = 85936776.

The previous prime is 85936771. The next prime is 85936787. The reversal of 85936777 is 77763958.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49406841 + 36529936 = 7029^2 + 6044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85936777 is a prime.

It is a super-3 number, since 3×85936777³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (85936771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42968388 + 42968389.

It is an arithmetic number, because the mean of its divisors is an integer number (42968389).

Almost surely, 2^85936777 is an apocalyptic number.

It is an amenable number.

85936777 is a deficient number, since it is larger than the sum of its proper divisors (1).

85936777 is an equidigital number, since it uses as much as digits as its factorization.

85936777 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2222640, while the sum is 52.

The square root of 85936777 is about 9270.2091130675. The cubic root of 85936777 is about 441.2923043647.

It can be divided in two parts, 859 and 36777, that added together give a square (37636 = 194²).

The spelling of 85936777 in words is "eighty-five million, nine hundred thirty-six thousand, seven hundred seventy-seven".