221185 has 8 divisors (see below), whose sum is σ = 274176. Its totient is φ = 171120.

The previous prime is 221173. The next prime is 221197. The reversal of 221185 is 581122.

It is an interprime number because it is at equal distance from previous prime (221173) and next prime (221197).

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

It is not a de Polignac number, because 221185 - 2⁹ = 220673 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 559 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

It is a Proth number, since it is equal to 27 ⋅ 2¹³ + 1 and 27 < 2¹³.

2²²¹¹⁸⁵ is an apocalyptic number.

It is an amenable number.

221185 is a deficient number, since it is larger than the sum of its proper divisors (52991).

221185 is a wasteful number, since it uses less digits than its factorization.

221185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463.

The product of its digits is 160, while the sum is 19.

The square root of 221185 is about 470.3030937598. The cubic root of 221185 is about 60.4763015349.

It can be divided in two parts, 221 and 185, that added together give a triangular number (406 = T₂₈).

The spelling of 221185 in words is "two hundred twenty-one thousand, one hundred eighty-five".