165675017 has 2 divisors, whose sum is σ = 165675018. Its totient is φ = 165675016.

The previous prime is 165674981. The next prime is 165675019. The reversal of 165675017 is 710576561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151265401 + 14409616 = 12299^2 + 3796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-165675017 is a prime.

It is a super-2 number, since 2×165675017² = 54896422515900578, which contains 22 as substring.

Together with 165675019, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_9274457 and since 165675017 and 9274457 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (165675019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82837508 + 82837509.

It is an arithmetic number, because the mean of its divisors is an integer number (82837509).

Almost surely, 2^165675017 is an apocalyptic number.

It is an amenable number.

165675017 is a deficient number, since it is larger than the sum of its proper divisors (1).

165675017 is an equidigital number, since it uses as much as digits as its factorization.

165675017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 165675017 is about 12871.4807617461. The cubic root of 165675017 is about 549.2275846046.

The spelling of 165675017 in words is "one hundred sixty-five million, six hundred seventy-five thousand, seventeen".