52733 has 2 divisors, whose sum is σ = 52734. Its totient is φ = 52732.

The previous prime is 52727. The next prime is 52747. The reversal of 52733 is 33725.

52733 is nontrivially palindromic in base 5.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38809 + 13924 = 197^2 + 118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52733 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₅₃₈₄ and since 52733 and 5384 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26366 + 26367.

It is an arithmetic number, because the mean of its divisors is an integer number (26367).

2⁵²⁷³³ is an apocalyptic number.

It is an amenable number.

52733 is a deficient number, since it is larger than the sum of its proper divisors (1).

52733 is an equidigital number, since it uses as much as digits as its factorization.

52733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 20.

The square root of 52733 is about 229.6366695456. The cubic root of 52733 is about 37.4996740712.

It can be divided in two parts, 527 and 33, that multiplied together give a triangular number (17391 = T₁₈₆).

The spelling of 52733 in words is "fifty-two thousand, seven hundred thirty-three".