418221 has 12 divisors (see below), whose sum is σ = 624000. Its totient is φ = 269640.

The previous prime is 418219. The next prime is 418259. The reversal of 418221 is 122814.

It is not a de Polignac number, because 418221 - 2¹ = 418219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 418194 and 418203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (52000).

2⁴¹⁸²²¹ is an apocalyptic number.

It is an amenable number.

418221 is a deficient number, since it is larger than the sum of its proper divisors (205779).

418221 is a wasteful number, since it uses less digits than its factorization.

418221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1533 counting only the distinct ones).

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

The square root of 418221 is about 646.7000850472. The cubic root of 418221 is about 74.7828384852.

It can be divided in two parts, 4 and 18221, that added together give a square (18225 = 135²).

The spelling of 418221 in words is "four hundred eighteen thousand, two hundred twenty-one".