214016 has 44 divisors (see below), whose sum is σ = 491280. Its totient is φ = 92160.

The previous prime is 214009. The next prime is 214021. The reversal of 214016 is 610412.

It is a tau number, because it is divible by the number of its divisors (44).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11255 + ... + 11273.

2²¹⁴⁰¹⁶ 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 214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245640).

214016 is an abundant number, since it is smaller than the sum of its proper divisors (277264).

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

214016 is a wasteful number, since it uses less digits than its factorization.

214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 214016 is about 462.6186334336. The cubic root of 214016 is about 59.8157309576.

Adding to 214016 its reverse (610412), we get a palindrome (824428).

The spelling of 214016 in words is "two hundred fourteen thousand, sixteen".