36085201 has 2 divisors, whose sum is σ = 36085202. Its totient is φ = 36085200.

The previous prime is 36085157. The next prime is 36085211. The reversal of 36085201 is 10258063.

It is a happy number.

36085201 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., 33651601 + 2433600 = 5801^2 + 1560^2 .

It is an emirp because it is prime and its reverse (10258063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36085201 - 2²³ = 27696593 is a prime.

It is not a weakly prime, because it can be changed into another prime (36085211) 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, 18042600 + 18042601.

It is an arithmetic number, because the mean of its divisors is an integer number (18042601).

Almost surely, 2^36085201 is an apocalyptic number.

It is an amenable number.

36085201 is a deficient number, since it is larger than the sum of its proper divisors (1).

36085201 is an equidigital number, since it uses as much as digits as its factorization.

36085201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 36085201 is about 6007.0958873652. The cubic root of 36085201 is about 330.4530080896.

The spelling of 36085201 in words is "thirty-six million, eighty-five thousand, two hundred one".