416221 has 8 divisors (see below), whose sum is σ = 454104. Its totient is φ = 379200.

The previous prime is 416219. The next prime is 416239. The reversal of 416221 is 122614.

It can be written as a sum of positive squares in 4 ways, for example, as 19321 + 396900 = 139^2 + 630^2 .

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 416221 - 2¹ = 416219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416195 and 416204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416201) 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, 1155 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (56763).

2⁴¹⁶²²¹ is an apocalyptic number.

It is an amenable number.

416221 is a deficient number, since it is larger than the sum of its proper divisors (37883).

416221 is a wasteful number, since it uses less digits than its factorization.

416221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its digits is 96, while the sum is 16.

The square root of 416221 is about 645.1519200932. The cubic root of 416221 is about 74.6634401065.

Adding to 416221 its reverse (122614), we get a palindrome (538835).

The spelling of 416221 in words is "four hundred sixteen thousand, two hundred twenty-one".