165328 has 10 divisors (see below), whose sum is σ = 320354. Its totient is φ = 82656.

The previous prime is 165317. The next prime is 165331. The reversal of 165328 is 823561.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 11664 = 392^2 + 108^2 .

It is a congruent number.

It is an unprimeable number.

165328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151 + ... + 5182.

2¹⁶⁵³²⁸ is an apocalyptic number.

It is an amenable number.

165328 is a deficient number, since it is larger than the sum of its proper divisors (155026).

165328 is a wasteful number, since it uses less digits than its factorization.

165328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10335 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 165328 is about 406.6054598748. The cubic root of 165328 is about 54.8843852372.

Adding to 165328 its reverse (823561), we get a palindrome (988889).

It can be divided in two parts, 1653 and 28, that added together give a square (1681 = 41²).

The spelling of 165328 in words is "one hundred sixty-five thousand, three hundred twenty-eight".