165216384 has 96 divisors (see below), whose sum is σ = 478752300. Its totient is φ = 54687744.

The previous prime is 165216349. The next prime is 165216437. The reversal of 165216384 is 483612561.

It is a happy number.

165216384 is a `hidden beast` number, since 1 + 65 + 216 + 384 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152769600 + 12446784 = 12360^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×165216384³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 198882 + ... + 199710.

Almost surely, 2^165216384 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 165216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239376150).

165216384 is an abundant number, since it is smaller than the sum of its proper divisors (313535916).

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

165216384 is a wasteful number, since it uses less digits than its factorization.

165216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1007 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 165216384 is about 12853.6525548188. The cubic root of 165216384 is about 548.7203130111.

It can be divided in two parts, 165216 and 384, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 165216384 in words is "one hundred sixty-five million, two hundred sixteen thousand, three hundred eighty-four".