165617 has 2 divisors, whose sum is σ = 165618. Its totient is φ = 165616.

The previous prime is 165611. The next prime is 165653. The reversal of 165617 is 716561.

165617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 2401 = 404^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 165617 - 2⁴ = 165601 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165617.

It is not a weakly prime, because it can be changed into another prime (165611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82808 + 82809.

It is an arithmetic number, because the mean of its divisors is an integer number (82809).

2¹⁶⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

165617 is a deficient number, since it is larger than the sum of its proper divisors (1).

165617 is an equidigital number, since it uses as much as digits as its factorization.

165617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 165617 is about 406.9606860619. The cubic root of 165617 is about 54.9163466595.

The spelling of 165617 in words is "one hundred sixty-five thousand, six hundred seventeen".