36777761 has 2 divisors, whose sum is σ = 36777762. Its totient is φ = 36777760.

The previous prime is 36777751. The next prime is 36777773. The reversal of 36777761 is 16777763.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21715600 + 15062161 = 4660^2 + 3881^2 .

It is a cyclic number.

It is not a de Polignac number, because 36777761 - 2¹⁴ = 36761377 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36777701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18388880 + 18388881.

It is an arithmetic number, because the mean of its divisors is an integer number (18388881).

Almost surely, 2^36777761 is an apocalyptic number.

It is an amenable number.

36777761 is a deficient number, since it is larger than the sum of its proper divisors (1).

36777761 is an equidigital number, since it uses as much as digits as its factorization.

36777761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 259308, while the sum is 44.

The square root of 36777761 is about 6064.4670829348. The cubic root of 36777761 is about 332.5536830804.

The spelling of 36777761 in words is "thirty-six million, seven hundred seventy-seven thousand, seven hundred sixty-one".