505321 has 2 divisors, whose sum is σ = 505322. Its totient is φ = 505320.

The previous prime is 505319. The next prime is 505327. The reversal of 505321 is 123505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 168921 = 580^2 + 411^2 .

It is a cyclic number.

It is not a de Polignac number, because 505321 - 2¹ = 505319 is a prime.

Together with 505319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 505295 and 505304.

It is not a weakly prime, because it can be changed into another prime (505327) 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 as a sum of consecutive naturals, namely, 252660 + 252661.

It is an arithmetic number, because the mean of its divisors is an integer number (252661).

2⁵⁰⁵³²¹ is an apocalyptic number.

It is an amenable number.

505321 is a deficient number, since it is larger than the sum of its proper divisors (1).

505321 is an equidigital number, since it uses as much as digits as its factorization.

505321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 505321 is about 710.8593391101. The cubic root of 505321 is about 79.6506117361.

Adding to 505321 its reverse (123505), we get a palindrome (628826).

The spelling of 505321 in words is "five hundred five thousand, three hundred twenty-one".