36135857 has 2 divisors, whose sum is σ = 36135858. Its totient is φ = 36135856.

The previous prime is 36135833. The next prime is 36135859. The reversal of 36135857 is 75853163.

36135857 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., 24364096 + 11771761 = 4936^2 + 3431^2 .

It is a cyclic number.

It is not a de Polignac number, because 36135857 - 2¹² = 36131761 is a prime.

It is a super-2 number, since 2×36135857² = 2611600322248898, which contains 22 as substring.

Together with 36135859, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36135857.

It is not a weakly prime, because it can be changed into another prime (36135859) 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, 18067928 + 18067929.

It is an arithmetic number, because the mean of its divisors is an integer number (18067929).

Almost surely, 2^36135857 is an apocalyptic number.

It is an amenable number.

36135857 is a deficient number, since it is larger than the sum of its proper divisors (1).

36135857 is an equidigital number, since it uses as much as digits as its factorization.

36135857 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 36135857 is about 6011.3107555674. The cubic root of 36135857 is about 330.6075645314.

The spelling of 36135857 in words is "thirty-six million, one hundred thirty-five thousand, eight hundred fifty-seven".