65135657 has 2 divisors, whose sum is σ = 65135658. Its totient is φ = 65135656.

The previous prime is 65135639. The next prime is 65135671. The reversal of 65135657 is 75653156.

65135657 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., 65108761 + 26896 = 8069^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 65135657 - 2¹⁴ = 65119273 is a prime.

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 65135657.

It is not a weakly prime, because it can be changed into another prime (65135627) 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, 32567828 + 32567829.

It is an arithmetic number, because the mean of its divisors is an integer number (32567829).

Almost surely, 2^65135657 is an apocalyptic number.

It is an amenable number.

65135657 is a deficient number, since it is larger than the sum of its proper divisors (1).

65135657 is an equidigital number, since it uses as much as digits as its factorization.

65135657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94500, while the sum is 38.

The square root of 65135657 is about 8070.6664532739. Note that the first 3 decimals coincide. The cubic root of 65135657 is about 402.3520941070.

The spelling of 65135657 in words is "sixty-five million, one hundred thirty-five thousand, six hundred fifty-seven".