36777743 has 2 divisors, whose sum is σ = 36777744. Its totient is φ = 36777742.

The previous prime is 36777731. The next prime is 36777751. The reversal of 36777743 is 34777763.

36777743 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (34777763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36777743 - 2⁸ = 36777487 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36777694 and 36777703.

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, 18388871 + 18388872.

It is an arithmetic number, because the mean of its divisors is an integer number (18388872).

Almost surely, 2^36777743 is an apocalyptic number.

36777743 is a deficient number, since it is larger than the sum of its proper divisors (1).

36777743 is an equidigital number, since it uses as much as digits as its factorization.

36777743 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 518616, while the sum is 44.

The square root of 36777743 is about 6064.4655988801. The cubic root of 36777743 is about 332.5536288269.

The spelling of 36777743 in words is "thirty-six million, seven hundred seventy-seven thousand, seven hundred forty-three".