217104 has 20 divisors (see below), whose sum is σ = 560976. Its totient is φ = 72352.

The previous prime is 217081. The next prime is 217111. The reversal of 217104 is 401712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2214 + ... + 2309.

2²¹⁷¹⁰⁴ is an apocalyptic number.

217104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

217104 is an abundant number, since it is smaller than the sum of its proper divisors (343872).

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

217104 is a wasteful number, since it uses less digits than its factorization.

217104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 217104 is about 465.9442026681. The cubic root of 217104 is about 60.1020485587.

Adding to 217104 its reverse (401712), we get a palindrome (618816).

The spelling of 217104 in words is "two hundred seventeen thousand, one hundred four", and thus it is an iban number.