40833 has 12 divisors (see below), whose sum is σ = 63700. Its totient is φ = 25056.

The previous prime is 40829. The next prime is 40841. The reversal of 40833 is 33804.

40833 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 23409 = 132^2 + 153^2 .

It is not a de Polignac number, because 40833 - 2² = 40829 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40833.

It is not an unprimeable number, because it can be changed into a prime (40813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 291.

2⁴⁰⁸³³ is an apocalyptic number.

40833 is the 117-th octagonal number.

It is an amenable number.

40833 is a deficient number, since it is larger than the sum of its proper divisors (22867).

40833 is a wasteful number, since it uses less digits than its factorization.

40833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40833 is about 202.0717694286. The cubic root of 40833 is about 34.4352914362.

It can be divided in two parts, 408 and 33, that added together give a square (441 = 21²).

The spelling of 40833 in words is "forty thousand, eight hundred thirty-three".