34933 has 4 divisors (see below), whose sum is σ = 35308. Its totient is φ = 34560.

The previous prime is 34919. The next prime is 34939. The reversal of 34933 is 33943.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 31684 = 57^2 + 178^2 .

It is a cyclic number.

It is not a de Polignac number, because 34933 - 2⁹ = 34421 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34939) 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 3 ways as a sum of consecutive naturals, for example, 85 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (8827).

2³⁴⁹³³ is an apocalyptic number.

It is an amenable number.

34933 is a deficient number, since it is larger than the sum of its proper divisors (375).

34933 is a wasteful number, since it uses less digits than its factorization.

34933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374.

The product of its digits is 972, while the sum is 22.

The square root of 34933 is about 186.9037185291. The cubic root of 34933 is about 32.6897772507.

Subtracting from 34933 its reverse (33943), we obtain a triangular number (990 = T₄₄).

The spelling of 34933 in words is "thirty-four thousand, nine hundred thirty-three".