36777701 has 2 divisors, whose sum is σ = 36777702. Its totient is φ = 36777700.

The previous prime is 36777659. The next prime is 36777703. The reversal of 36777701 is 10777763.

36777701 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 can be written as a sum of positive squares in only one way, i.e., 31348801 + 5428900 = 5599^2 + 2330^2 .

It is a cyclic number.

It is not a de Polignac number, because 36777701 - 2¹⁴ = 36761317 is a prime.

Together with 36777703, it forms a pair of twin primes.

It is a Chen 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, 18388850 + 18388851.

It is an arithmetic number, because the mean of its divisors is an integer number (18388851).

Almost surely, 2^36777701 is an apocalyptic number.

It is an amenable number.

36777701 is a deficient number, since it is larger than the sum of its proper divisors (1).

36777701 is an equidigital number, since it uses as much as digits as its factorization.

36777701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43218, while the sum is 38.

The square root of 36777701 is about 6064.4621360843. The cubic root of 36777701 is about 332.5535022353.

The spelling of 36777701 in words is "thirty-six million, seven hundred seventy-seven thousand, seven hundred one".