162216 has 32 divisors (see below), whose sum is σ = 451200. Its totient is φ = 54000.

The previous prime is 162209. The next prime is 162221. The reversal of 162216 is 612261.

It is a happy number.

162216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162216.

It is an unprimeable number.

162216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (14100).

2¹⁶²²¹⁶ is an apocalyptic number.

It is an amenable number.

162216 is an abundant number, since it is smaller than the sum of its proper divisors (288984).

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

162216 is a wasteful number, since it uses less digits than its factorization.

162216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 162216 is about 402.7604747241. The cubic root of 162216 is about 54.5378352994.

Adding to 162216 its reverse (612261), we get a palindrome (774477).

It can be divided in two parts, 1622 and 16, that multiplied together give a palindrome (25952).

The spelling of 162216 in words is "one hundred sixty-two thousand, two hundred sixteen".