45033 has 8 divisors (see below), whose sum is σ = 63648. Its totient is φ = 28224.

The previous prime is 45013. The next prime is 45053. The reversal of 45033 is 33054.

It is an interprime number because it is at equal distance from previous prime (45013) and next prime (45053).

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

It is not a de Polignac number, because 45033 - 2⁸ = 44777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45013) 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, 391 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (7956).

2⁴⁵⁰³³ is an apocalyptic number.

It is an amenable number.

45033 is a deficient number, since it is larger than the sum of its proper divisors (18615).

45033 is a wasteful number, since it uses less digits than its factorization.

45033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 45033 is about 212.2098018471. The cubic root of 45033 is about 35.5776255485.

Adding to 45033 its reverse (33054), we get a palindrome (78087).

The spelling of 45033 in words is "forty-five thousand, thirty-three".