165135857 has 2 divisors, whose sum is σ = 165135858. Its totient is φ = 165135856.

The previous prime is 165135809. The next prime is 165135881. The reversal of 165135857 is 758531561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164839921 + 295936 = 12839^2 + 544^2 .

It is a cyclic number.

It is not a de Polignac number, because 165135857 - 2¹⁴ = 165119473 is a prime.

It is not a weakly prime, because it can be changed into another prime (165137857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82567928 + 82567929.

It is an arithmetic number, because the mean of its divisors is an integer number (82567929).

Almost surely, 2^165135857 is an apocalyptic number.

It is an amenable number.

165135857 is a deficient number, since it is larger than the sum of its proper divisors (1).

165135857 is an equidigital number, since it uses as much as digits as its factorization.

165135857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 41.

The square root of 165135857 is about 12850.5197171165. The cubic root of 165135857 is about 548.6311491715.

The spelling of 165135857 in words is "one hundred sixty-five million, one hundred thirty-five thousand, eight hundred fifty-seven".