814221 has 6 divisors (see below), whose sum is σ = 1176110. Its totient is φ = 542808.

The previous prime is 814213. The next prime is 814237. The reversal of 814221 is 122418.

814221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 741321 + 72900 = 861^2 + 270^2 .

It is not a de Polignac number, because 814221 - 2³ = 814213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 814194 and 814203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814211) 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, 45226 + ... + 45243.

2⁸¹⁴²²¹ is an apocalyptic number.

It is an amenable number.

814221 is a deficient number, since it is larger than the sum of its proper divisors (361889).

814221 is a wasteful number, since it uses less digits than its factorization.

814221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90475 (or 90472 counting only the distinct ones).

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

The square root of 814221 is about 902.3419529203. The cubic root of 814221 is about 93.3786160651.

Adding to 814221 its reverse (122418), we get a palindrome (936639).

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

The spelling of 814221 in words is "eight hundred fourteen thousand, two hundred twenty-one".