3313305 has 36 divisors (see below), whose sum is σ = 6022692. Its totient is φ = 1749600.

The previous prime is 3313291. The next prime is 3313319. The reversal of 3313305 is 5033133.

3313305 is a `hidden beast` number, since 331 + 330 + 5 = 666.

3313305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3313291) and next prime (3313319).

It can be written as a sum of positive squares in 2 ways, for example, as 2368521 + 944784 = 1539^2 + 972^2 .

It is not a de Polignac number, because 3313305 - 2⁶ = 3313241 is a prime.

3313305 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32755 + ... + 32855.

It is an arithmetic number, because the mean of its divisors is an integer number (167297).

Almost surely, 2^3313305 is an apocalyptic number.

It is an amenable number.

3313305 is a deficient number, since it is larger than the sum of its proper divisors (2709387).

3313305 is an frugal number, since it uses more digits than its factorization.

3313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 3313305 is about 1820.2486093938. The cubic root of 3313305 is about 149.0803734353.

Adding to 3313305 its reverse (5033133), we get a palindrome (8346438).

The spelling of 3313305 in words is "three million, three hundred thirteen thousand, three hundred five".