165384 has 24 divisors (see below), whose sum is σ = 448110. Its totient is φ = 55104.

The previous prime is 165383. The next prime is 165391. The reversal of 165384 is 483561.

165384 is a `hidden beast` number, since 1 + 653 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 22500 = 378^2 + 150^2 .

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

It is not an unprimeable number, because it can be changed into a prime (165383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1077 + ... + 1220.

2¹⁶⁵³⁸⁴ is an apocalyptic number.

It is an amenable number.

165384 is an abundant number, since it is smaller than the sum of its proper divisors (282726).

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

165384 is a wasteful number, since it uses less digits than its factorization.

165384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2302 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 165384 is about 406.6743168679. The cubic root of 165384 is about 54.8905813617.

The spelling of 165384 in words is "one hundred sixty-five thousand, three hundred eighty-four".