33023133 has 40 divisors (see below), whose sum is σ = 57975456. Its totient is φ = 18468000.

The previous prime is 33023119. The next prime is 33023171. The reversal of 33023133 is 33132033.

It is not a de Polignac number, because 33023133 - 2¹³ = 33014941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10158 + ... + 13008.

Almost surely, 2^33023133 is an apocalyptic number.

33023133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33023133 is a deficient number, since it is larger than the sum of its proper divisors (24952323).

33023133 is a wasteful number, since it uses less digits than its factorization.

33023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2878 counting only the distinct ones).

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

The square root of 33023133 is about 5746.5757630088. The cubic root of 33023133 is about 320.8283648787.

Adding to 33023133 its reverse (33132033), we get a palindrome (66155166).

Subtracting 33023133 from its reverse (33132033), we obtain a square (108900 = 330²).

The spelling of 33023133 in words is "thirty-three million, twenty-three thousand, one hundred thirty-three".