214216 has 8 divisors (see below), whose sum is σ = 401670. Its totient is φ = 107104.

The previous prime is 214213. The next prime is 214219. The reversal of 214216 is 612412.

It is an interprime number because it is at equal distance from previous prime (214213) and next prime (214219).

It can be written as a sum of positive squares in only one way, i.e., 206116 + 8100 = 454^2 + 90^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 214216.

It is not an unprimeable number, because it can be changed into a prime (214211) by changing a digit.

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 as a sum of consecutive naturals, namely, 13381 + ... + 13396.

2²¹⁴²¹⁶ is an apocalyptic number.

It is an amenable number.

214216 is a deficient number, since it is larger than the sum of its proper divisors (187454).

214216 is a wasteful number, since it uses less digits than its factorization.

214216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26783 (or 26779 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 214216 is about 462.8347437261. The cubic root of 214216 is about 59.8343579475.

Adding to 214216 its reverse (612412), we get a palindrome (826628).

The spelling of 214216 in words is "two hundred fourteen thousand, two hundred sixteen".