405537641 has 2 divisors, whose sum is σ = 405537642. Its totient is φ = 405537640.

The previous prime is 405537637. The next prime is 405537707. The reversal of 405537641 is 146735504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231192025 + 174345616 = 15205^2 + 13204^2 .

It is a cyclic number.

It is not a de Polignac number, because 405537641 - 2² = 405537637 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (405537631) 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, 202768820 + 202768821.

It is an arithmetic number, because the mean of its divisors is an integer number (202768821).

Almost surely, 2^405537641 is an apocalyptic number.

It is an amenable number.

405537641 is a deficient number, since it is larger than the sum of its proper divisors (1).

405537641 is an equidigital number, since it uses as much as digits as its factorization.

405537641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 405537641 is about 20137.9651653289. The cubic root of 405537641 is about 740.1908693182.

The spelling of 405537641 in words is "four hundred five million, five hundred thirty-seven thousand, six hundred forty-one".