36400337 has 2 divisors, whose sum is σ = 36400338. Its totient is φ = 36400336.

The previous prime is 36400327. The next prime is 36400339. The reversal of 36400337 is 73300463.

36400337 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., 35236096 + 1164241 = 5936^2 + 1079^2 .

It is a cyclic number.

It is not a de Polignac number, because 36400337 - 2¹⁰ = 36399313 is a prime.

Together with 36400339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36400339) 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, 18200168 + 18200169.

It is an arithmetic number, because the mean of its divisors is an integer number (18200169).

Almost surely, 2^36400337 is an apocalyptic number.

It is an amenable number.

36400337 is a deficient number, since it is larger than the sum of its proper divisors (1).

36400337 is an equidigital number, since it uses as much as digits as its factorization.

36400337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 36400337 is about 6033.2691801377. The cubic root of 36400337 is about 331.4121820271.

The spelling of 36400337 in words is "thirty-six million, four hundred thousand, three hundred thirty-seven".