42216 has 16 divisors (see below), whose sum is σ = 105600. Its totient is φ = 14064.

The previous prime is 42209. The next prime is 42221. The reversal of 42216 is 61224.

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 42195 and 42204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 856 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (6600).

2⁴²²¹⁶ is an apocalyptic number.

It is an amenable number.

42216 is an abundant number, since it is smaller than the sum of its proper divisors (63384).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800).

42216 is a wasteful number, since it uses less digits than its factorization.

42216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1764 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 42216 is about 205.4653255418. The cubic root of 42216 is about 34.8197536153.

The spelling of 42216 in words is "forty-two thousand, two hundred sixteen".