221117 has 8 divisors (see below), whose sum is σ = 242424. Its totient is φ = 200448.

The previous prime is 221101. The next prime is 221159. The reversal of 221117 is 711122.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 219961 = 34^2 + 469^2 .

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 221117 - 2⁴ = 221101 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221117.

It is not an unprimeable number, because it can be changed into a prime (221197) 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, 833 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (30303).

2²²¹¹¹⁷ is an apocalyptic number.

It is an amenable number.

221117 is a deficient number, since it is larger than the sum of its proper divisors (21307).

221117 is a wasteful number, since it uses less digits than its factorization.

221117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319.

The product of its digits is 28, while the sum is 14.

The square root of 221117 is about 470.2307943978. The cubic root of 221117 is about 60.4701033901.

Adding to 221117 its reverse (711122), we get a palindrome (932239).

The spelling of 221117 in words is "two hundred twenty-one thousand, one hundred seventeen", and thus it is an iban number.