12032033 has 8 divisors (see below), whose sum is σ = 13003368. Its totient is φ = 11067264.

The previous prime is 12032011. The next prime is 12032057. The reversal of 12032033 is 33023021.

It can be written as a sum of positive squares in 4 ways, for example, as 1227664 + 10804369 = 1108^2 + 3287^2 .

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

It is not a de Polignac number, because 12032033 - 2⁸ = 12031777 is a prime.

It is a super-2 number, since 2×12032033² = 289539636226178, 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 = 12031999 and 12032017.

It is not an unprimeable number, because it can be changed into a prime (12032063) 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 7 ways as a sum of consecutive naturals, for example, 2591 + ... + 5547.

It is an arithmetic number, because the mean of its divisors is an integer number (1625421).

Almost surely, 2^12032033 is an apocalyptic number.

12032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12032033 is a deficient number, since it is larger than the sum of its proper divisors (971335).

12032033 is a wasteful number, since it uses less digits than its factorization.

12032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 12032033 is about 3468.7220989869. The cubic root of 12032033 is about 229.1463821311.

Adding to 12032033 its reverse (33023021), we get a palindrome (45055054).

The spelling of 12032033 in words is "twelve million, thirty-two thousand, thirty-three".