33420033 has 24 divisors (see below), whose sum is σ = 50695008. Its totient is φ = 21998304.

The previous prime is 33420017. The next prime is 33420041. The reversal of 33420033 is 33002433.

It is not a de Polignac number, because 33420033 - 2⁴ = 33420017 is a prime.

It is a super-2 number, since 2×33420033² = 2233797211442178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33419988 and 33420015.

It is not an unprimeable number, because it can be changed into a prime (33420083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19341 + ... + 20997.

It is an arithmetic number, because the mean of its divisors is an integer number (2112292).

Almost surely, 2^33420033 is an apocalyptic number.

It is an amenable number.

33420033 is a deficient number, since it is larger than the sum of its proper divisors (17274975).

33420033 is an equidigital number, since it uses as much as digits as its factorization.

33420033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 33420033 is about 5781.0062272930. The cubic root of 33420033 is about 322.1085786628.

Adding to 33420033 its reverse (33002433), we get a palindrome (66422466).

The spelling of 33420033 in words is "thirty-three million, four hundred twenty thousand, thirty-three".