55733 has 2 divisors, whose sum is σ = 55734. Its totient is φ = 55732.

The previous prime is 55721. The next prime is 55763. The reversal of 55733 is 33755.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54289 + 1444 = 233^2 + 38^2 .

It is a cyclic number.

It is not a de Polignac number, because 55733 - 2⁴ = 55717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₅₆₅₇ and since 55733 and 5657 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 55699 and 55708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27866 + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (27867).

2⁵⁵⁷³³ is an apocalyptic number.

It is an amenable number.

55733 is a deficient number, since it is larger than the sum of its proper divisors (1).

55733 is an equidigital number, since it uses as much as digits as its factorization.

55733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1575, while the sum is 23.

The square root of 55733 is about 236.0783768158. The cubic root of 55733 is about 38.1977228799.

It can be divided in two parts, 557 and 33, that multiplied together give a palindrome (18381).

The spelling of 55733 in words is "fifty-five thousand, seven hundred thirty-three".