217120 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 81664.

The previous prime is 217117. The next prime is 217121. The reversal of 217120 is 21712.

217120 = T₁₀₅ + T₁₀₆ + ... + T₁₃₄.

It is a self number, because there is not a number n which added to its sum of digits gives 217120.

It is not an unprimeable number, because it can be changed into a prime (217121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3651 + ... + 3709.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²¹⁷¹²⁰ is an apocalyptic number.

217120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

217120 is the 295-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

217120 is an abundant number, since it is smaller than the sum of its proper divisors (327200).

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

217120 is a wasteful number, since it uses less digits than its factorization.

217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 217120 is about 465.9613717896. The cubic root of 217120 is about 60.1035249773.

Adding to 217120 its reverse (21712), we get a palindrome (238832).

The spelling of 217120 in words is "two hundred seventeen thousand, one hundred twenty", and thus it is an iban number.