217220 has 12 divisors (see below), whose sum is σ = 456204. Its totient is φ = 86880.

The previous prime is 217219. The next prime is 217223. The reversal of 217220 is 22712.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 135424 = 286^2 + 368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 217195 and 217204.

It is not an unprimeable number, because it can be changed into a prime (217223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5411 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (38017).

2²¹⁷²²⁰ is an apocalyptic number.

217220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217220 is an abundant number, since it is smaller than the sum of its proper divisors (238984).

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

217220 is a wasteful number, since it uses less digits than its factorization.

217220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10870 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 217220 is about 466.0686644691. The cubic root of 217220 is about 60.1127509506.

Adding to 217220 its reverse (22712), we get a palindrome (239932).

The spelling of 217220 in words is "two hundred seventeen thousand, two hundred twenty", and thus it is an iban number.