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4216 = 231731

4216 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 1920.

The previous prime is 4211. The next prime is 4217. The reversal of 4216 is 6124.

It is a junction number, because it is equal to n+sod(n) for n = 4196 and 4205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211) by changing a digit.

4216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

24216 is an apocalyptic number.

It is an amenable number.

4216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (4320).

4216 is a wasteful number, since it uses less digits than its factorization.

4216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

The product of its digits is 48, while the sum is 13.

The square root of 4216 is about 64.9307323230. The cubic root of 4216 is about 16.1547484815.

The spelling of 4216 in words is "four thousand, two hundred sixteen".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 527 1054 2108 4216