33503 has 2 divisors, whose sum is σ = 33504. Its totient is φ = 33502.

The previous prime is 33493. The next prime is 33521. The reversal of 33503 is 30533.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33503 - 2⁴ = 33487 is a prime.

It is a super-2 number, since 2×33503² = 2244902018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16751 + 16752.

It is an arithmetic number, because the mean of its divisors is an integer number (16752).

2³³⁵⁰³ is an apocalyptic number.

33503 is a deficient number, since it is larger than the sum of its proper divisors (1).

33503 is an equidigital number, since it uses as much as digits as its factorization.

33503 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 14.

The square root of 33503 is about 183.0382473692. The cubic root of 33503 is about 32.2374908920.

Subtracting from 33503 its sum of digits (14), we obtain a square (33489 = 183²).

The spelling of 33503 in words is "thirty-three thousand, five hundred three".