34733 has 4 divisors (see below), whose sum is σ = 35520. Its totient is φ = 33948.

The previous prime is 34729. The next prime is 34739. The reversal of 34733 is 33743.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33743 = 41 ⋅823.

It is a cyclic number.

It is not a de Polignac number, because 34733 - 2² = 34729 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 34733.

It is not an unprimeable number, because it can be changed into a prime (34739) 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, 323 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2³⁴⁷³³ is an apocalyptic number.

It is an amenable number.

34733 is a deficient number, since it is larger than the sum of its proper divisors (787).

34733 is an equidigital number, since it uses as much as digits as its factorization.

34733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786.

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

The square root of 34733 is about 186.3679156937. The cubic root of 34733 is about 32.6272721464.

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

It can be divided in two parts, 34 and 733, that added together give a palindrome (767).

The spelling of 34733 in words is "thirty-four thousand, seven hundred thirty-three".