214816 has 36 divisors (see below), whose sum is σ = 495558. Its totient is φ = 91392.

The previous prime is 214811. The next prime is 214817. The reversal of 214816 is 618412.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 38416 = 420^2 + 196^2 .

It is a super-2 number, since 2×214816² = 92291827712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214811) 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 in 5 ways as a sum of consecutive naturals, for example, 1500 + ... + 1636.

2²¹⁴⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247779).

214816 is an abundant number, since it is smaller than the sum of its proper divisors (280742).

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

214816 is a wasteful number, since it uses less digits than its factorization.

214816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 214816 is about 463.4824700029. The cubic root of 214816 is about 59.8901694472.

The spelling of 214816 in words is "two hundred fourteen thousand, eight hundred sixteen".