165663312 has 80 divisors (see below), whose sum is σ = 450209280. Its totient is φ = 52416000.

The previous prime is 165663307. The next prime is 165663343. The reversal of 165663312 is 213366561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83937 + ... + 85887.

It is an arithmetic number, because the mean of its divisors is an integer number (5627616).

Almost surely, 2^165663312 is an apocalyptic number.

165663312 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 165663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225104640).

165663312 is an abundant number, since it is smaller than the sum of its proper divisors (284545968).

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

165663312 is a wasteful number, since it uses less digits than its factorization.

165663312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 165663312 is about 12871.0260663243. The cubic root of 165663312 is about 549.2146499240.

The spelling of 165663312 in words is "one hundred sixty-five million, six hundred sixty-three thousand, three hundred twelve".