36538157 has 2 divisors, whose sum is σ = 36538158. Its totient is φ = 36538156.

The previous prime is 36538133. The next prime is 36538163. The reversal of 36538157 is 75183563.

36538157 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., 20967241 + 15570916 = 4579^2 + 3946^2 .

It is a cyclic number.

It is not a de Polignac number, because 36538157 - 2⁸ = 36537901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36538157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36538357) 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, 18269078 + 18269079.

It is an arithmetic number, because the mean of its divisors is an integer number (18269079).

Almost surely, 2^36538157 is an apocalyptic number.

It is an amenable number.

36538157 is a deficient number, since it is larger than the sum of its proper divisors (1).

36538157 is an equidigital number, since it uses as much as digits as its factorization.

36538157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 38.

The square root of 36538157 is about 6044.6800577036. The cubic root of 36538157 is about 331.8299226857.

The spelling of 36538157 in words is "thirty-six million, five hundred thirty-eight thousand, one hundred fifty-seven".