17220 has 48 divisors (see below), whose sum is σ = 56448. Its totient is φ = 3840.

The previous prime is 17209. The next prime is 17231. The reversal of 17220 is 2271.

17220 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (17209) and next prime (17231).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 17196 and 17205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 400 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹⁷²²⁰ is an apocalyptic number.

17220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224).

17220 is an abundant number, since it is smaller than the sum of its proper divisors (39228).

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

17220 is a wasteful number, since it uses less digits than its factorization.

17220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 17220 is about 131.2249976186. The cubic root of 17220 is about 25.8232588766.

Adding to 17220 its reverse (2271), we get a palindrome (19491).

The spelling of 17220 in words is "seventeen thousand, two hundred twenty", and thus it is an iban number.