165216304 has 60 divisors (see below), whose sum is σ = 357876400. Its totient is φ = 73814400.

The previous prime is 165216287. The next prime is 165216349. The reversal of 165216304 is 403612561.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117397 + ... + 118795.

Almost surely, 2^165216304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165216304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178938200).

165216304 is an abundant number, since it is smaller than the sum of its proper divisors (192660096).

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

165216304 is a wasteful number, since it uses less digits than its factorization.

165216304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 165216304 is about 12853.6494428625. The cubic root of 165216304 is about 548.7202244452.

Adding to 165216304 its reverse (403612561), we get a palindrome (568828865).

It can be divided in two parts, 1652 and 16304, that added together give a square (17956 = 134²).

The spelling of 165216304 in words is "one hundred sixty-five million, two hundred sixteen thousand, three hundred four".