217008 has 60 divisors (see below), whose sum is σ = 667368. Its totient is φ = 65280.

The previous prime is 217003. The next prime is 217027. The reversal of 217008 is 800712.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (217001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1516 + ... + 1652.

2²¹⁷⁰⁰⁸ 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 217008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333684).

217008 is an abundant number, since it is smaller than the sum of its proper divisors (450360).

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

217008 is a wasteful number, since it uses less digits than its factorization.

217008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 217008 is about 465.8411746508. The cubic root of 217008 is about 60.0931885234.

The spelling of 217008 in words is "two hundred seventeen thousand, eight".