33073 has 2 divisors, whose sum is σ = 33074. Its totient is φ = 33072.

The previous prime is 33071. The next prime is 33083. The reversal of 33073 is 37033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27889 + 5184 = 167^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 33073 - 2¹ = 33071 is a prime.

Together with 33071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16536 + 16537.

It is an arithmetic number, because the mean of its divisors is an integer number (16537).

2³³⁰⁷³ is an apocalyptic number.

It is an amenable number.

33073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33073 is an equidigital number, since it uses as much as digits as its factorization.

33073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 16.

The square root of 33073 is about 181.8598361376. The cubic root of 33073 is about 32.0989773971.

It can be divided in two parts, 330 and 73, that multiplied together give a triangular number (24090 = T₂₁₉).

The spelling of 33073 in words is "thirty-three thousand, seventy-three".