55333 has 2 divisors, whose sum is σ = 55334. Its totient is φ = 55332.

The previous prime is 55331. The next prime is 55337. The reversal of 55333 is 33355.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 16129 = 198^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 55333 - 2¹ = 55331 is a prime.

Together with 55331, it forms a pair of twin primes.

55333 is a modest number, since divided by 333 gives 55 as remainder.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 55333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 27666 + 27667.

It is an arithmetic number, because the mean of its divisors is an integer number (27667).

2⁵⁵³³³ is an apocalyptic number.

It is an amenable number.

55333 is a deficient number, since it is larger than the sum of its proper divisors (1).

55333 is an equidigital number, since it uses as much as digits as its factorization.

55333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 675, while the sum is 19.

The square root of 55333 is about 235.2296749987. The cubic root of 55333 is about 38.1061207252.

Adding to 55333 its reverse (33355), we get a palindrome (88688).

The spelling of 55333 in words is "fifty-five thousand, three hundred thirty-three".