165366216 has 48 divisors (see below), whose sum is σ = 450750300. Its totient is φ = 54767232.

The previous prime is 165366211. The next prime is 165366221. The reversal of 165366216 is 612663561.

165366216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165366211) and next prime (165366221).

It can be written as a sum of positive squares in 2 ways, for example, as 152621316 + 12744900 = 12354^2 + 3570^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165366211) 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, 3990 + ... + 18618.

Almost surely, 2^165366216 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 165366216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375150).

165366216 is an abundant number, since it is smaller than the sum of its proper divisors (285384084).

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

165366216 is a wasteful number, since it uses less digits than its factorization.

165366216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14791 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 165366216 is about 12859.4796162209. The cubic root of 165366216 is about 548.8861380120.

The spelling of 165366216 in words is "one hundred sixty-five million, three hundred sixty-six thousand, two hundred sixteen".