506221 has 4 divisors (see below), whose sum is σ = 507744. Its totient is φ = 504700.

The previous prime is 506213. The next prime is 506251. The reversal of 506221 is 122605.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 506221 - 2³ = 506213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506195 and 506204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (126936).

2⁵⁰⁶²²¹ is an apocalyptic number.

It is an amenable number.

506221 is a deficient number, since it is larger than the sum of its proper divisors (1523).

506221 is a wasteful number, since it uses less digits than its factorization.

506221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 506221 is about 711.4920941233. The cubic root of 506221 is about 79.6978708276.

Adding to 506221 its reverse (122605), we get a palindrome (628826).

It can be divided in two parts, 506 and 221, that added together give a palindrome (727).

The spelling of 506221 in words is "five hundred six thousand, two hundred twenty-one".