33505 has 4 divisors (see below), whose sum is σ = 40212. Its totient is φ = 26800.

The previous prime is 33503. The next prime is 33521. The reversal of 33505 is 50533.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50533 = 7 ⋅7219.

It can be written as a sum of positive squares in 2 ways, for example, as 12769 + 20736 = 113^2 + 144^2 .

It is not a de Polignac number, because 33505 - 2¹ = 33503 is a prime.

It is a super-2 number, since 2×33505² = 2245170050, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3346 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (10053).

2³³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

33505 is a deficient number, since it is larger than the sum of its proper divisors (6707).

33505 is an equidigital number, since it uses as much as digits as its factorization.

33505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706.

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 33505 is about 183.0437106267. The cubic root of 33505 is about 32.2381323639.

Subtracting from 33505 its sum of digits (16), we obtain a square (33489 = 183²).

The spelling of 33505 in words is "thirty-three thousand, five hundred five".