33743 has 4 divisors (see below), whose sum is σ = 34608. Its totient is φ = 32880.

The previous prime is 33739. The next prime is 33749. The reversal of 33743 is 34733.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 34733 = 47 ⋅739.

It is a cyclic number.

It is not a de Polignac number, because 33743 - 2² = 33739 is a prime.

It is a super-2 number, since 2×33743² = 2277180098, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33743.

It is not an unprimeable number, because it can be changed into a prime (33749) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 371 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (8652).

2³³⁷⁴³ is an apocalyptic number.

33743 is a deficient number, since it is larger than the sum of its proper divisors (865).

33743 is an equidigital number, since it uses as much as digits as its factorization.

33743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its digits is 756, while the sum is 20.

The square root of 33743 is about 183.6926781339. The cubic root of 33743 is about 32.3142859674.

Subtracting 33743 from its reverse (34733), we obtain a triangular number (990 = T₄₄).

The spelling of 33743 in words is "thirty-three thousand, seven hundred forty-three".