165205216 has 48 divisors (see below), whose sum is σ = 356913648. Its totient is φ = 74649600.

The previous prime is 165205211. The next prime is 165205219. The reversal of 165205216 is 612502561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165205211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62416 + ... + 65008.

It is an arithmetic number, because the mean of its divisors is an integer number (7435701).

Almost surely, 2^165205216 is an apocalyptic number.

165205216 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 165205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178456824).

165205216 is an abundant number, since it is smaller than the sum of its proper divisors (191708432).

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

165205216 is a wasteful number, since it uses less digits than its factorization.

165205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 165205216 is about 12853.2181184324. The cubic root of 165205216 is about 548.7079489296.

Adding to 165205216 its reverse (612502561), we get a palindrome (777707777).

It can be divided in two parts, 16520 and 5216, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 165205216 in words is "one hundred sixty-five million, two hundred five thousand, two hundred sixteen".