40973 has 2 divisors, whose sum is σ = 40974. Its totient is φ = 40972.

The previous prime is 40961. The next prime is 40993. The reversal of 40973 is 37904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40804 + 169 = 202^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 40973 - 2¹² = 36877 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40973.

It is not a weakly prime, because it can be changed into another prime (40903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20486 + 20487.

It is an arithmetic number, because the mean of its divisors is an integer number (20487).

2⁴⁰⁹⁷³ is an apocalyptic number.

It is an amenable number.

40973 is a deficient number, since it is larger than the sum of its proper divisors (1).

40973 is an equidigital number, since it uses as much as digits as its factorization.

40973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 40973 is about 202.4178845853. The cubic root of 40973 is about 34.4746014843.

The spelling of 40973 in words is "forty thousand, nine hundred seventy-three".