214008 has 32 divisors (see below), whose sum is σ = 551760. Its totient is φ = 69120.

The previous prime is 214007. The next prime is 214009. The reversal of 214008 is 800412.

214008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214007) and next prime (214009).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768 + ... + 1008.

2²¹⁴⁰⁰⁸ 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 214008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275880).

214008 is an abundant number, since it is smaller than the sum of its proper divisors (337752).

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

214008 is a wasteful number, since it uses less digits than its factorization.

214008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214008 is about 462.6099869220. The cubic root of 214008 is about 59.8149856367.

The spelling of 214008 in words is "two hundred fourteen thousand, eight".