36791257 has 2 divisors, whose sum is σ = 36791258. Its totient is φ = 36791256.

The previous prime is 36791233. The next prime is 36791297. The reversal of 36791257 is 75219763.

36791257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (36791297) can be obtained adding 36791257 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36288576 + 502681 = 6024^2 + 709^2 .

It is a cyclic number.

It is not a de Polignac number, because 36791257 - 2¹⁵ = 36758489 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36791207) 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, 18395628 + 18395629.

It is an arithmetic number, because the mean of its divisors is an integer number (18395629).

Almost surely, 2^36791257 is an apocalyptic number.

It is an amenable number.

36791257 is a deficient number, since it is larger than the sum of its proper divisors (1).

36791257 is an equidigital number, since it uses as much as digits as its factorization.

36791257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79380, while the sum is 40.

The square root of 36791257 is about 6065.5796919998. The cubic root of 36791257 is about 332.5943561711.

The spelling of 36791257 in words is "thirty-six million, seven hundred ninety-one thousand, two hundred fifty-seven".