18033 has 4 divisors (see below), whose sum is σ = 24048. Its totient is φ = 12020.

The previous prime is 18013. The next prime is 18041. The reversal of 18033 is 33081.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33081 = 3 ⋅11027.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-18033 is a prime.

It is a D-number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3003 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (6012).

2^{18033} is an apocalyptic number.

It is an amenable number.

18033 is a deficient number, since it is larger than the sum of its proper divisors (6015).

18033 is an equidigital number, since it uses as much as digits as its factorization.

18033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 18033 is about 134.2870060728. The cubic root of 18033 is about 26.2234198066.

The spelling of 18033 in words is "eighteen thousand, thirty-three".

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