165165312 has 144 divisors (see below), whose sum is σ = 482122368. Its totient is φ = 49889280.

The previous prime is 165165293. The next prime is 165165313. The reversal of 165165312 is 213561561.

It is a self number, because there is not a number n which added to its sum of digits gives 165165312.

It is not an unprimeable number, because it can be changed into a prime (165165313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708748 + ... + 708980.

It is an arithmetic number, because the mean of its divisors is an integer number (3348072).

Almost surely, 2^165165312 is an apocalyptic number.

165165312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241061184).

165165312 is an abundant number, since it is smaller than the sum of its proper divisors (316957056).

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

165165312 is a wasteful number, since it uses less digits than its factorization.

165165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 165165312 is about 12851.6657286128. The cubic root of 165165312 is about 548.6637666984.

The spelling of 165165312 in words is "one hundred sixty-five million, one hundred sixty-five thousand, three hundred twelve".