165217 has 8 divisors (see below), whose sum is σ = 181440. Its totient is φ = 149520.

The previous prime is 165211. The next prime is 165229. The reversal of 165217 is 712561.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165217 - 2⁷ = 165089 is a prime.

It is a Duffinian number.

165217 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (165211) 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 in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2¹⁶⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

165217 is a deficient number, since it is larger than the sum of its proper divisors (16223).

165217 is a wasteful number, since it uses less digits than its factorization.

165217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 420, while the sum is 22.

The square root of 165217 is about 406.4689410029. The cubic root of 165217 is about 54.8720994968.

Adding to 165217 its reverse (712561), we get a palindrome (877778).

The spelling of 165217 in words is "one hundred sixty-five thousand, two hundred seventeen".