45333 has 16 divisors (see below), whose sum is σ = 71040. Its totient is φ = 28512.

The previous prime is 45329. The next prime is 45337. The reversal of 45333 is 33354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45329) and next prime (45337).

It is not a de Polignac number, because 45333 - 2² = 45329 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

45333 is a modest number, since divided by 333 gives 45 as remainder.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45337) 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 15 ways as a sum of consecutive naturals, for example, 585 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (4440).

2⁴⁵³³³ is an apocalyptic number.

It is an amenable number.

45333 is a deficient number, since it is larger than the sum of its proper divisors (25707).

45333 is a wasteful number, since it uses less digits than its factorization.

45333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 45333 is about 212.9154761871. The cubic root of 45333 is about 35.6564542146.

Adding to 45333 its reverse (33354), we get a palindrome (78687).

It can be divided in two parts, 45 and 333, that added together give a triangular number (378 = T₂₇).

The spelling of 45333 in words is "forty-five thousand, three hundred thirty-three".