36137873 has 2 divisors, whose sum is σ = 36137874. Its totient is φ = 36137872.

The previous prime is 36137833. The next prime is 36137879. The reversal of 36137873 is 37873163.

It is a happy number.

36137873 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., 36084049 + 53824 = 6007^2 + 232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36137873 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 (36137879) 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, 18068936 + 18068937.

It is an arithmetic number, because the mean of its divisors is an integer number (18068937).

Almost surely, 2^36137873 is an apocalyptic number.

It is an amenable number.

36137873 is a deficient number, since it is larger than the sum of its proper divisors (1).

36137873 is an equidigital number, since it uses as much as digits as its factorization.

36137873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 38.

The square root of 36137873 is about 6011.4784371234. The cubic root of 36137873 is about 330.6137125564.

The spelling of 36137873 in words is "thirty-six million, one hundred thirty-seven thousand, eight hundred seventy-three".