3306033 has 12 divisors (see below), whose sum is σ = 4823988. Its totient is φ = 2181600.

The previous prime is 3306013. The next prime is 3306049.

Added to its reverse (3306033) it gives a triangular number (6612066 = T₃₆₃₆).

3306033 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1595169 + 1710864 = 1263^2 + 1308^2 .

It is not a de Polignac number, because 3306033 - 2⁵ = 3306001 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3305997 and 3306015.

It is not an unprimeable number, because it can be changed into a prime (3306013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 910 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (401999).

Almost surely, 2^3306033 is an apocalyptic number.

It is an amenable number.

3306033 is a deficient number, since it is larger than the sum of its proper divisors (1517955).

3306033 is a wasteful number, since it uses less digits than its factorization.

3306033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3306033 is about 1818.2499828131. The cubic root of 3306033 is about 148.9712269711.

The spelling of 3306033 in words is "three million, three hundred six thousand, thirty-three".