3288033 has 24 divisors (see below), whose sum is σ = 5631808. Its totient is φ = 1877904.

The previous prime is 3288029. The next prime is 3288037. The reversal of 3288033 is 3308823.

3288033 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 (3288029) and next prime (3288037).

It is not a de Polignac number, because 3288033 - 2² = 3288029 is a prime.

It is a super-2 number, since 2×3288033² = 21622322018178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

3288033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3287988 and 3288006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 735 + ... + 2667.

Almost surely, 2^3288033 is an apocalyptic number.

It is an amenable number.

3288033 is a deficient number, since it is larger than the sum of its proper divisors (2343775).

3288033 is an equidigital number, since it uses as much as digits as its factorization.

3288033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3288033 is about 1813.2934125508. The cubic root of 3288033 is about 148.7003723059.

The spelling of 3288033 in words is "three million, two hundred eighty-eight thousand, thirty-three".