5733 has 18 divisors (see below), whose sum is σ = 10374. Its totient is φ = 3024.
The previous prime is 5717. The next prime is 5737. The reversal of 5733 is 3375.
5733 is nontrivially palindromic in base 4.
It can be written as a sum of positive squares in only one way, i.e., 3969 + 1764 = 63^2 + 42^2 .
It is not a de Polignac number, because 5733 - 24 = 5717 is a prime.
It is a Curzon number.
It is a plaindrome in base 12.
It is a nialpdrome in base 9.
It is a zygodrome in base 12.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5737) 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 in 17 ways as a sum of consecutive naturals, for example, 435 + ... + 447.
25733 is an apocalyptic number.
It is an amenable number.
5733 is a deficient number, since it is larger than the sum of its proper divisors (4641).
5733 is a wasteful number, since it uses less digits than its factorization.
5733 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33 (or 23 counting only the distinct ones).
The product of its digits is 315, while the sum is 18.
The square root of 5733 is about 75.7165767847. The cubic root of 5733 is about 17.8975663285.
It can be divided in two parts, 573 and 3, that added together give a square (576 = 242).
The spelling of 5733 in words is "five thousand, seven hundred thirty-three".
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