3305 has 4 divisors (see below), whose sum is σ = 3972. Its totient is φ = 2640.

The previous prime is 3301. The next prime is 3307. The reversal of 3305 is 5033.

3305 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5033 = 7 ⋅719.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 1369 = 44^2 + 37^2 .

It is not a de Polignac number, because 3305 - 2² = 3301 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3301) 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 3 ways as a sum of consecutive naturals, for example, 326 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (993).

2³³⁰⁵ is an apocalyptic number.

It is an amenable number.

3305 is a deficient number, since it is larger than the sum of its proper divisors (667).

3305 is an equidigital number, since it uses as much as digits as its factorization.

3305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 3305 is about 57.4891294072. The cubic root of 3305 is about 14.8955709551.

Adding to 3305 its reverse (5033), we get a palindrome (8338).

Subtracting 3305 from its reverse (5033), we obtain a cube (1728 = 12³).

The spelling of 3305 in words is "three thousand, three hundred five".