36877013 has 2 divisors, whose sum is σ = 36877014. Its totient is φ = 36877012.

The previous prime is 36877007. The next prime is 36877031. The reversal of 36877013 is 31077863.

36877013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (36877031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35129329 + 1747684 = 5927^2 + 1322^2 .

It is a cyclic number.

It is not a de Polignac number, because 36877013 - 2⁴ = 36876997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36877033) 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, 18438506 + 18438507.

It is an arithmetic number, because the mean of its divisors is an integer number (18438507).

Almost surely, 2^36877013 is an apocalyptic number.

It is an amenable number.

36877013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36877013 is an equidigital number, since it uses as much as digits as its factorization.

36877013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 36877013 is about 6072.6446462806. The cubic root of 36877013 is about 332.8525681501.

The spelling of 36877013 in words is "thirty-six million, eight hundred seventy-seven thousand, thirteen".