165288 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 53760.

The previous prime is 165287. The next prime is 165293. The reversal of 165288 is 882561.

165288 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (165287) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1656 + ... + 1752.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹⁶⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

165288 is an abundant number, since it is smaller than the sum of its proper divisors (258072).

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

165288 is a wasteful number, since it uses less digits than its factorization.

165288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 165288 is about 406.5562691682. The cubic root of 165288 is about 54.8799585773.

The spelling of 165288 in words is "one hundred sixty-five thousand, two hundred eighty-eight".