36777509 has 2 divisors, whose sum is σ = 36777510. Its totient is φ = 36777508.

The previous prime is 36777497. The next prime is 36777553. The reversal of 36777509 is 90577763.

It is an a-pointer prime, because the next prime (36777553) can be obtained adding 36777509 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34845409 + 1932100 = 5903^2 + 1390^2 .

It is an emirp because it is prime and its reverse (90577763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36777509 - 2¹⁶ = 36711973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36777509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36777589) 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, 18388754 + 18388755.

It is an arithmetic number, because the mean of its divisors is an integer number (18388755).

Almost surely, 2^36777509 is an apocalyptic number.

It is an amenable number.

36777509 is a deficient number, since it is larger than the sum of its proper divisors (1).

36777509 is an equidigital number, since it uses as much as digits as its factorization.

36777509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 277830, while the sum is 44.

The square root of 36777509 is about 6064.4463061355. The cubic root of 36777509 is about 332.5529235297.

The spelling of 36777509 in words is "thirty-six million, seven hundred seventy-seven thousand, five hundred nine".