3382833 has 8 divisors (see below), whose sum is σ = 4526368. Its totient is φ = 2247264.

The previous prime is 3382807. The next prime is 3382849.

3382833 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3382833 - 2⁹ = 3382321 is a prime.

It is a super-2 number, since 2×3382833² = 22887118211778, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

3382833 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3382833.

It is not an unprimeable number, because it can be changed into a prime (3382433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916 + ... + 2757.

It is an arithmetic number, because the mean of its divisors is an integer number (565796).

Almost surely, 2^3382833 is an apocalyptic number.

It is an amenable number.

3382833 is a deficient number, since it is larger than the sum of its proper divisors (1143535).

3382833 is a wasteful number, since it uses less digits than its factorization.

3382833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983.

The product of its digits is 10368, while the sum is 30.

The square root of 3382833 is about 1839.2479441337. The cubic root of 3382833 is about 150.1159547846.

The spelling of 3382833 in words is "three million, three hundred eighty-two thousand, eight hundred thirty-three".