41584973 has 2 divisors, whose sum is σ = 41584974. Its totient is φ = 41584972.

The previous prime is 41584951. The next prime is 41584987. The reversal of 41584973 is 37948514.

41584973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37982569 + 3602404 = 6163^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 41584973 - 2⁸ = 41584717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41584973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41584073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20792486 + 20792487.

It is an arithmetic number, because the mean of its divisors is an integer number (20792487).

Almost surely, 2^41584973 is an apocalyptic number.

It is an amenable number.

41584973 is a deficient number, since it is larger than the sum of its proper divisors (1).

41584973 is an equidigital number, since it uses as much as digits as its factorization.

41584973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 41.

The square root of 41584973 is about 6448.6411746972. The cubic root of 41584973 is about 346.4539160379.

The spelling of 41584973 in words is "forty-one million, five hundred eighty-four thousand, nine hundred seventy-three".