165733216 has 72 divisors (see below), whose sum is σ = 374440752. Its totient is φ = 72019200.

The previous prime is 165733213. The next prime is 165733237. The reversal of 165733216 is 612337561.

165733216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165733213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88126 + ... + 89986.

It is an arithmetic number, because the mean of its divisors is an integer number (5200566).

Almost surely, 2^165733216 is an apocalyptic number.

165733216 is a gapful number since it is divisible by the number (16) 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 165733216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187220376).

165733216 is an abundant number, since it is smaller than the sum of its proper divisors (208707536).

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

165733216 is a wasteful number, since it uses less digits than its factorization.

165733216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1897 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 165733216 is about 12873.7413365346. The cubic root of 165733216 is about 549.2918887156.

The spelling of 165733216 in words is "one hundred sixty-five million, seven hundred thirty-three thousand, two hundred sixteen".