40933 has 2 divisors, whose sum is σ = 40934. Its totient is φ = 40932.

The previous prime is 40927. The next prime is 40939. The reversal of 40933 is 33904.

It is a balanced prime because it is at equal distance from previous prime (40927) and next prime (40939).

It can be written as a sum of positive squares in only one way, i.e., 31329 + 9604 = 177^2 + 98^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40933 is a prime.

40933 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 40933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40939) 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 as a sum of consecutive naturals, namely, 20466 + 20467.

It is an arithmetic number, because the mean of its divisors is an integer number (20467).

2⁴⁰⁹³³ is an apocalyptic number.

It is an amenable number.

40933 is a deficient number, since it is larger than the sum of its proper divisors (1).

40933 is an equidigital number, since it uses as much as digits as its factorization.

40933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 40933 is about 202.3190549602. The cubic root of 40933 is about 34.4633791912.

It can be divided in two parts, 4093 and 3, that added together give a 12-th power (4096 = 2¹²).

The spelling of 40933 in words is "forty thousand, nine hundred thirty-three".