217380 has 24 divisors (see below), whose sum is σ = 608832. Its totient is φ = 57952.

The previous prime is 217369. The next prime is 217387. The reversal of 217380 is 83712.

217380 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (217387) by changing a digit.

217380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1752 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (25368).

2²¹⁷³⁸⁰ is an apocalyptic number.

217380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217380 is an abundant number, since it is smaller than the sum of its proper divisors (391452).

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

217380 is a wasteful number, since it uses less digits than its factorization.

217380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 217380 is about 466.2402814001. The cubic root of 217380 is about 60.1275066202.

The spelling of 217380 in words is "two hundred seventeen thousand, three hundred eighty".