55633 has 2 divisors, whose sum is σ = 55634. Its totient is φ = 55632.

The previous prime is 55631. The next prime is 55639. The reversal of 55633 is 33655.

55633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 18769 = 192^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 55633 - 2¹ = 55631 is a prime.

Together with 55631, it forms a pair of twin primes.

55633 is a lucky number.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (55631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27816 + 27817.

It is an arithmetic number, because the mean of its divisors is an integer number (27817).

2⁵⁵⁶³³ is an apocalyptic number.

It is an amenable number.

55633 is a deficient number, since it is larger than the sum of its proper divisors (1).

55633 is an equidigital number, since it uses as much as digits as its factorization.

55633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1350, while the sum is 22.

The square root of 55633 is about 235.8664876577. The cubic root of 55633 is about 38.1748635378.

Adding to 55633 its sum of digits (22), we get a palindrome (55655).

Subtracting from 55633 its sum of digits (22), we obtain a triangular number (55611 = T₃₃₃).

The spelling of 55633 in words is "fifty-five thousand, six hundred thirty-three".