55321 has 6 divisors (see below), whose sum is σ = 64410. Its totient is φ = 47376.

The previous prime is 55313. The next prime is 55331. The reversal of 55321 is 12355.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 19600 = 189^2 + 140^2 .

It is not a de Polignac number, because 55321 - 2³ = 55313 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 55295 and 55304.

It is not an unprimeable number, because it can be changed into a prime (55331) 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 in 5 ways as a sum of consecutive naturals, for example, 516 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (10735).

2⁵⁵³²¹ is an apocalyptic number.

It is an amenable number.

55321 is a deficient number, since it is larger than the sum of its proper divisors (9089).

55321 is a wasteful number, since it uses less digits than its factorization.

55321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

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

The square root of 55321 is about 235.2041666298. The cubic root of 55321 is about 38.1033658501.

Adding to 55321 its reverse (12355), we get a palindrome (67676).

The spelling of 55321 in words is "fifty-five thousand, three hundred twenty-one".