36005237 has 2 divisors, whose sum is σ = 36005238. Its totient is φ = 36005236.

The previous prime is 36005231. The next prime is 36005239. The reversal of 36005237 is 73250063.

36005237 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., 30924721 + 5080516 = 5561^2 + 2254^2 .

It is an emirp because it is prime and its reverse (73250063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36005237 - 2²⁰ = 34956661 is a prime.

Together with 36005239, 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 (36005231) 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, 18002618 + 18002619.

It is an arithmetic number, because the mean of its divisors is an integer number (18002619).

Almost surely, 2^36005237 is an apocalyptic number.

It is an amenable number.

36005237 is a deficient number, since it is larger than the sum of its proper divisors (1).

36005237 is an equidigital number, since it uses as much as digits as its factorization.

36005237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 36005237 is about 6000.4364007962. The cubic root of 36005237 is about 330.2087354029.

The spelling of 36005237 in words is "thirty-six million, five thousand, two hundred thirty-seven".