165345216 has 56 divisors (see below), whose sum is σ = 441405264. Its totient is φ = 54620160.

The previous prime is 165345209. The next prime is 165345217. The reversal of 165345216 is 612543561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165345217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17886 + ... + 25506.

Almost surely, 2^165345216 is an apocalyptic number.

165345216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220702632).

165345216 is an abundant number, since it is smaller than the sum of its proper divisors (276060048).

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

165345216 is a wasteful number, since it uses less digits than its factorization.

165345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7749 (or 7739 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 165345216 is about 12858.6630720305. The cubic root of 165345216 is about 548.8629025186.

Adding to 165345216 its reverse (612543561), we get a palindrome (777888777).

It can be divided in two parts, 165345 and 216, that added together give a palindrome (165561).

The spelling of 165345216 in words is "one hundred sixty-five million, three hundred forty-five thousand, two hundred sixteen".