165316112 has 80 divisors (see below), whose sum is σ = 369768000. Its totient is φ = 70958592.

The previous prime is 165316103. The next prime is 165316117. The reversal of 165316112 is 211613561.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (165316117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232814 + ... + 233522.

It is an arithmetic number, because the mean of its divisors is an integer number (4622100).

Almost surely, 2^165316112 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 165316112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184884000).

165316112 is an abundant number, since it is smaller than the sum of its proper divisors (204451888).

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

165316112 is a wasteful number, since it uses less digits than its factorization.

165316112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 165316112 is about 12857.5313338137. The cubic root of 165316112 is about 548.8306970847.

Adding to 165316112 its reverse (211613561), we get a palindrome (376929673).

The spelling of 165316112 in words is "one hundred sixty-five million, three hundred sixteen thousand, one hundred twelve".