165017933 has 2 divisors, whose sum is σ = 165017934. Its totient is φ = 165017932.

The previous prime is 165017873. The next prime is 165017959. The reversal of 165017933 is 339710561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160098409 + 4919524 = 12653^2 + 2218^2 .

It is an emirp because it is prime and its reverse (339710561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165017933 - 2¹⁶ = 164952397 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 165017893 and 165017902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165010933) 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, 82508966 + 82508967.

It is an arithmetic number, because the mean of its divisors is an integer number (82508967).

Almost surely, 2^165017933 is an apocalyptic number.

It is an amenable number.

165017933 is a deficient number, since it is larger than the sum of its proper divisors (1).

165017933 is an equidigital number, since it uses as much as digits as its factorization.

165017933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 165017933 is about 12845.9306007778. The cubic root of 165017933 is about 548.5005250357.

The spelling of 165017933 in words is "one hundred sixty-five million, seventeen thousand, nine hundred thirty-three".