36597013 has 2 divisors, whose sum is σ = 36597014. Its totient is φ = 36597012.

The previous prime is 36597007. The next prime is 36597031. The reversal of 36597013 is 31079563.

36597013 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 (36597031) 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., 36216324 + 380689 = 6018^2 + 617^2 .

It is a cyclic number.

It is not a de Polignac number, because 36597013 - 2⁹ = 36596501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36597013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36597053) 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, 18298506 + 18298507.

It is an arithmetic number, because the mean of its divisors is an integer number (18298507).

Almost surely, 2^36597013 is an apocalyptic number.

It is an amenable number.

36597013 is a deficient number, since it is larger than the sum of its proper divisors (1).

36597013 is an equidigital number, since it uses as much as digits as its factorization.

36597013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 36597013 is about 6049.5465119296. The cubic root of 36597013 is about 332.0079986702.

The spelling of 36597013 in words is "thirty-six million, five hundred ninety-seven thousand, thirteen".