217141 has 8 divisors (see below), whose sum is σ = 235224. Its totient is φ = 199680.

The previous prime is 217121. The next prime is 217157. The reversal of 217141 is 141712.

217141 = 329² + 330².

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 108241 = 330^2 + 329^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 217141 - 2¹⁷ = 86069 is a prime.

It is a Duffinian number.

217141 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (29403).

2²¹⁷¹⁴¹ is an apocalyptic number.

217141 is the 330-th centered square number.

It is an amenable number.

217141 is a deficient number, since it is larger than the sum of its proper divisors (18083).

217141 is a wasteful number, since it uses less digits than its factorization.

217141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its digits is 56, while the sum is 16.

The square root of 217141 is about 465.9839053015. The cubic root of 217141 is about 60.1054626666.

Adding to 217141 its reverse (141712), we get a palindrome (358853).

The spelling of 217141 in words is "two hundred seventeen thousand, one hundred forty-one", and thus it is an iban number.