15733 has 2 divisors, whose sum is σ = 15734. Its totient is φ = 15732.

The previous prime is 15731. The next prime is 15737. The reversal of 15733 is 33751.

15733 is digitally balanced in base 3, 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., 10404 + 5329 = 102^2 + 73^2 .

It is an emirp because it is prime and its reverse (33751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 15733 - 2¹ = 15731 is a prime.

Together with 15731, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 15733.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7866 + 7867.

It is an arithmetic number, because the mean of its divisors is an integer number (7867).

2¹⁵⁷³³ is an apocalyptic number.

It is an amenable number.

15733 is a deficient number, since it is larger than the sum of its proper divisors (1).

15733 is an equidigital number, since it uses as much as digits as its factorization.

15733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 315, while the sum is 19.

The square root of 15733 is about 125.4312560728. The cubic root of 15733 is about 25.0574677969.

It can be divided in two parts, 157 and 33, that added together give a triangular number (190 = T₁₉).

The spelling of 15733 in words is "fifteen thousand, seven hundred thirty-three".