165331122 has 64 divisors (see below), whose sum is σ = 392048640. Its totient is φ = 45921600.

The previous prime is 165331109. The next prime is 165331123. The reversal of 165331122 is 221133561.

It is a junction number, because it is equal to n+sod(n) for n = 165331092 and 165331101.

It is not an unprimeable number, because it can be changed into a prime (165331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36748 + ... + 41000.

It is an arithmetic number, because the mean of its divisors is an integer number (6125760).

Almost surely, 2^165331122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196024320).

165331122 is an abundant number, since it is smaller than the sum of its proper divisors (226717518).

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

165331122 is a wasteful number, since it uses less digits than its factorization.

165331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319.

The product of its digits is 1080, while the sum is 24.

The square root of 165331122 is about 12858.1150251505. The cubic root of 165331122 is about 548.8473070799.

Adding to 165331122 its reverse (221133561), we get a palindrome (386464683).

The spelling of 165331122 in words is "one hundred sixty-five million, three hundred thirty-one thousand, one hundred twenty-two".