36333137 has 2 divisors, whose sum is σ = 36333138. Its totient is φ = 36333136.

The previous prime is 36333133. The next prime is 36333161. The reversal of 36333137 is 73133363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35331136 + 1002001 = 5944^2 + 1001^2 .

It is a cyclic number.

It is not a de Polignac number, because 36333137 - 2² = 36333133 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36333133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18166568 + 18166569.

It is an arithmetic number, because the mean of its divisors is an integer number (18166569).

Almost surely, 2^36333137 is an apocalyptic number.

It is an amenable number.

36333137 is a deficient number, since it is larger than the sum of its proper divisors (1).

36333137 is an equidigital number, since it uses as much as digits as its factorization.

36333137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 29.

The square root of 36333137 is about 6027.6974874325. The cubic root of 36333137 is about 331.2081123253.

The spelling of 36333137 in words is "thirty-six million, three hundred thirty-three thousand, one hundred thirty-seven".