221814 has 12 divisors (see below), whose sum is σ = 480636. Its totient is φ = 73932.

The previous prime is 221813. The next prime is 221827. The reversal of 221814 is 418122.

221814 = T₂ + T₃ + ... + T₁₀₉.

221814 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12323 = 221814 / (2 + 2 + 1 + 8 + 1 + 4).

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6144 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (40053).

2²²¹⁸¹⁴ is an apocalyptic number.

221814 is an abundant number, since it is smaller than the sum of its proper divisors (258822).

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

221814 is a wasteful number, since it uses less digits than its factorization.

221814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12328 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 221814 is about 470.9713367074. The cubic root of 221814 is about 60.5335742431.

Adding to 221814 its reverse (418122), we get a palindrome (639936).

It can be divided in two parts, 221 and 814, that added together give a triangular number (1035 = T₄₅).

The spelling of 221814 in words is "two hundred twenty-one thousand, eight hundred fourteen".