165025312 has 48 divisors (see below), whose sum is σ = 340502400. Its totient is φ = 78624000.

The previous prime is 165025309. The next prime is 165025321. The reversal of 165025312 is 213520561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72187 + ... + 74437.

It is an arithmetic number, because the mean of its divisors is an integer number (7093800).

Almost surely, 2^165025312 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 165025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170251200).

165025312 is an abundant number, since it is smaller than the sum of its proper divisors (175477088).

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

165025312 is a wasteful number, since it uses less digits than its factorization.

165025312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 165025312 is about 12846.2178091452. The cubic root of 165025312 is about 548.5087005614.

Adding to 165025312 its reverse (213520561), we get a palindrome (378545873).

It can be divided in two parts, 1650 and 25312, that added together give a palindrome (26962).

The spelling of 165025312 in words is "one hundred sixty-five million, twenty-five thousand, three hundred twelve".