165228 has 36 divisors (see below), whose sum is σ = 450072. Its totient is φ = 47040.

The previous prime is 165211. The next prime is 165229. The reversal of 165228 is 822561.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 165198 and 165207.

It is not an unprimeable number, because it can be changed into a prime (165229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (12502).

2¹⁶⁵²²⁸ 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 165228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225036).

165228 is an abundant number, since it is smaller than the sum of its proper divisors (284844).

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

165228 is a wasteful number, since it uses less digits than its factorization.

165228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 165228 is about 406.4824719468. The cubic root of 165228 is about 54.8733172482.

Adding to 165228 its reverse (822561), we get a palindrome (987789).

It can be divided in two parts, 165 and 228, that added together give a palindrome (393).

The spelling of 165228 in words is "one hundred sixty-five thousand, two hundred twenty-eight".