165216 has 24 divisors (see below), whose sum is σ = 433944. Its totient is φ = 55040.

The previous prime is 165211. The next prime is 165229. The reversal of 165216 is 612561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 165192 and 165201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 765 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (18081).

2¹⁶⁵²¹⁶ is an apocalyptic number.

165216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165216 is an abundant number, since it is smaller than the sum of its proper divisors (268728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165216 is a wasteful number, since it uses less digits than its factorization.

165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 165216 is about 406.4677108947. The cubic root of 165216 is about 54.8719887894.

Adding to 165216 its reverse (612561), we get a palindrome (777777).

The spelling of 165216 in words is "one hundred sixty-five thousand, two hundred sixteen".