40033 has 12 divisors (see below), whose sum is σ = 50160. Its totient is φ = 31752.

The previous prime is 40031. The next prime is 40037. The reversal of 40033 is 33004.

It is not a de Polignac number, because 40033 - 2¹ = 40031 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 40033 = 9³ + 34³ = 16³ + 33³.

40033 is a modest number, since divided by 33 gives 4 as remainder.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (40031) 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 11 ways as a sum of consecutive naturals, for example, 910 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (4180).

2⁴⁰⁰³³ is an apocalyptic number.

40033 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

40033 is a deficient number, since it is larger than the sum of its proper divisors (10127).

40033 is a wasteful number, since it uses less digits than its factorization.

40033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 40033 is about 200.0824829914. The cubic root of 40033 is about 34.2089212161.

Adding to 40033 its reverse (33004), we get a palindrome (73037).

The spelling of 40033 in words is "forty thousand, thirty-three".