33507 has 16 divisors (see below), whose sum is σ = 53280. Its totient is φ = 20736.

The previous prime is 33503. The next prime is 33521. The reversal of 33507 is 70533.

It is not a de Polignac number, because 33507 - 2² = 33503 is a prime.

It is a super-2 number, since 2×33507² = 2245438098, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33507.

It is not an unprimeable number, because it can be changed into a prime (33503) 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 15 ways as a sum of consecutive naturals, for example, 423 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (3330).

2³³⁵⁰⁷ is an apocalyptic number.

33507 is a deficient number, since it is larger than the sum of its proper divisors (19773).

33507 is a wasteful number, since it uses less digits than its factorization.

33507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 33507 is about 183.0491737212. The cubic root of 33507 is about 32.2387738103.

Subtracting from 33507 its sum of digits (18), we obtain a square (33489 = 183²).

The spelling of 33507 in words is "thirty-three thousand, five hundred seven".