36820313 has 2 divisors, whose sum is σ = 36820314. Its totient is φ = 36820312.

The previous prime is 36820261. The next prime is 36820321. The reversal of 36820313 is 31302863.

36820313 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., 35844169 + 976144 = 5987^2 + 988^2 .

It is a cyclic number.

It is not a de Polignac number, because 36820313 - 2⁸ = 36820057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (36820363) 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, 18410156 + 18410157.

It is an arithmetic number, because the mean of its divisors is an integer number (18410157).

Almost surely, 2^36820313 is an apocalyptic number.

It is an amenable number.

36820313 is a deficient number, since it is larger than the sum of its proper divisors (1).

36820313 is an equidigital number, since it uses as much as digits as its factorization.

36820313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 36820313 is about 6067.9743737099. The cubic root of 36820313 is about 332.6818889121.

The spelling of 36820313 in words is "thirty-six million, eight hundred twenty thousand, three hundred thirteen".