33085033 has 4 divisors (see below), whose sum is σ = 33135748. Its totient is φ = 33034320.

The previous prime is 33085021. The next prime is 33085037. The reversal of 33085033 is 33058033.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33058033 = 829 ⋅39877.

It can be written as a sum of positive squares in 2 ways, for example, as 29888089 + 3196944 = 5467^2 + 1788^2 .

It is a cyclic number.

It is not a de Polignac number, because 33085033 - 2⁵ = 33085001 is a prime.

It is a super-2 number, since 2×33085033² = 2189238817222178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33084989 and 33085007.

It is not an unprimeable number, because it can be changed into a prime (33085037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24366 + ... + 25687.

It is an arithmetic number, because the mean of its divisors is an integer number (8283937).

Almost surely, 2^33085033 is an apocalyptic number.

It is an amenable number.

33085033 is a deficient number, since it is larger than the sum of its proper divisors (50715).

33085033 is an equidigital number, since it uses as much as digits as its factorization.

33085033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50714.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 33085033 is about 5751.9590575733. The cubic root of 33085033 is about 321.0286979839.

Subtracting from 33085033 its reverse (33058033), we obtain a cube (27000 = 30³).

The spelling of 33085033 in words is "thirty-three million, eighty-five thousand, thirty-three".