36777773 has 2 divisors, whose sum is σ = 36777774. Its totient is φ = 36777772.

The previous prime is 36777761. The next prime is 36777791. The reversal of 36777773 is 37777763.

36777773 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36747844 + 29929 = 6062^2 + 173^2 .

It is an emirp because it is prime and its reverse (37777763) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36777773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36777703) 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, 18388886 + 18388887.

It is an arithmetic number, because the mean of its divisors is an integer number (18388887).

Almost surely, 2^36777773 is an apocalyptic number.

It is an amenable number.

36777773 is a deficient number, since it is larger than the sum of its proper divisors (1).

36777773 is an equidigital number, since it uses as much as digits as its factorization.

36777773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907578, while the sum is 47.

The square root of 36777773 is about 6064.4680723044. The cubic root of 36777773 is about 332.5537192494.

It can be divided in two parts, 3 and 6777773, that added together give a palindrome (6777776).

The spelling of 36777773 in words is "thirty-six million, seven hundred seventy-seven thousand, seven hundred seventy-three".