3305133 has 36 divisors (see below), whose sum is σ = 5395572. Its totient is φ = 1946880.

The previous prime is 3305119. The next prime is 3305147. The reversal of 3305133 is 3315033.

It is an interprime number because it is at equal distance from previous prime (3305119) and next prime (3305147).

It can be written as a sum of positive squares in 6 ways, for example, as 927369 + 2377764 = 963^2 + 1542^2 .

It is not a de Polignac number, because 3305133 - 2⁴ = 3305117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62335 + ... + 62387.

It is an arithmetic number, because the mean of its divisors is an integer number (149877).

Almost surely, 2^3305133 is an apocalyptic number.

It is an amenable number.

3305133 is a deficient number, since it is larger than the sum of its proper divisors (2090439).

3305133 is a wasteful number, since it uses less digits than its factorization.

3305133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

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

The square root of 3305133 is about 1818.0024752458. The cubic root of 3305133 is about 148.9577076190.

The spelling of 3305133 in words is "three million, three hundred five thousand, one hundred thirty-three".