52321 has 2 divisors, whose sum is σ = 52322. Its totient is φ = 52320.

The previous prime is 52313. The next prime is 52361. The reversal of 52321 is 12325.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 12321 = 200^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 52321 - 2³ = 52313 is a prime.

It is an alternating number because its digits alternate between odd and even.

52321 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26160 + 26161.

It is an arithmetic number, because the mean of its divisors is an integer number (26161).

2⁵²³²¹ is an apocalyptic number.

It is an amenable number.

52321 is a deficient number, since it is larger than the sum of its proper divisors (1).

52321 is an equidigital number, since it uses as much as digits as its factorization.

52321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60, while the sum is 13.

The square root of 52321 is about 228.7378412069. The cubic root of 52321 is about 37.4017576647.

Adding to 52321 its reverse (12325), we get a palindrome (64646).

It can be divided in two parts, 52 and 321, that added together give a palindrome (373).

The spelling of 52321 in words is "fifty-two thousand, three hundred twenty-one".