217328 has 30 divisors (see below), whose sum is σ = 456816. Its totient is φ = 100096.

The previous prime is 217319. The next prime is 217333. The reversal of 217328 is 823712.

It is a congruent number.

It is an unprimeable number.

217328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4601 + ... + 4647.

2²¹⁷³²⁸ 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 217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228408).

217328 is an abundant number, since it is smaller than the sum of its proper divisors (239488).

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

217328 is a wasteful number, since it uses less digits than its factorization.

217328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 217328 is about 466.1845128273. The cubic root of 217328 is about 60.1227118220.

It can be divided in two parts, 217 and 328, that added together give a palindrome (545).

The spelling of 217328 in words is "two hundred seventeen thousand, three hundred twenty-eight".