33533 has 2 divisors, whose sum is σ = 33534. Its totient is φ = 33532.

The previous prime is 33529. The next prime is 33547.

33533 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 1849 = 178^2 + 43^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 33533 - 2² = 33529 is a prime.

It is a super-2 number, since 2×33533² = 2248924178, which contains 22 as substring.

It is equal to p₃₅₉₀ and since 33533 and 3590 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16766 + 16767.

It is an arithmetic number, because the mean of its divisors is an integer number (16767).

2³³⁵³³ is an apocalyptic number.

It is an amenable number.

33533 is a deficient number, since it is larger than the sum of its proper divisors (1).

33533 is an equidigital number, since it uses as much as digits as its factorization.

33533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 405, while the sum is 17.

The square root of 33533 is about 183.1201791174. The cubic root of 33533 is about 32.2471102913.

The spelling of 33533 in words is "thirty-three thousand, five hundred thirty-three".