472221 has 12 divisors (see below), whose sum is σ = 692640. Its totient is φ = 309960.

The previous prime is 472193. The next prime is 472247. The reversal of 472221 is 122274.

472221 = T₇₈ + T₇₉ + ... + T₁₄₈.

It is not a de Polignac number, because 472221 - 2⁵ = 472189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 472194 and 472203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472221.

It is not an unprimeable number, because it can be changed into a prime (472261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (57720).

2⁴⁷²²²¹ is an apocalyptic number.

It is an amenable number.

472221 is a deficient number, since it is larger than the sum of its proper divisors (220419).

472221 is a wasteful number, since it uses less digits than its factorization.

472221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 813 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 472221 is about 687.1833816384. The cubic root of 472221 is about 77.8720782887.

Adding to 472221 its reverse (122274), we get a palindrome (594495).

The spelling of 472221 in words is "four hundred seventy-two thousand, two hundred twenty-one", and thus it is an iban number.