36129257 has 2 divisors, whose sum is σ = 36129258. Its totient is φ = 36129256.

The previous prime is 36129221. The next prime is 36129259. The reversal of 36129257 is 75292163.

36129257 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., 35952016 + 177241 = 5996^2 + 421^2 .

It is a cyclic number.

It is not a de Polignac number, because 36129257 - 2⁶ = 36129193 is a prime.

It is a super-2 number, since 2×36129257² = 2610646422744098, which contains 22 as substring.

Together with 36129259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36129259) 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, 18064628 + 18064629.

It is an arithmetic number, because the mean of its divisors is an integer number (18064629).

Almost surely, 2^36129257 is an apocalyptic number.

It is an amenable number.

36129257 is a deficient number, since it is larger than the sum of its proper divisors (1).

36129257 is an equidigital number, since it uses as much as digits as its factorization.

36129257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The square root of 36129257 is about 6010.7617653672. The cubic root of 36129257 is about 330.5874354688.

The spelling of 36129257 in words is "thirty-six million, one hundred twenty-nine thousand, two hundred fifty-seven".