405947 has 2 divisors, whose sum is σ = 405948. Its totient is φ = 405946.

The previous prime is 405917. The next prime is 405949. The reversal of 405947 is 749504.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 405947 - 2¹⁴ = 389563 is a prime.

Together with 405949, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405947.

It is not a weakly prime, because it can be changed into another prime (405949) 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, 202973 + 202974.

It is an arithmetic number, because the mean of its divisors is an integer number (202974).

2⁴⁰⁵⁹⁴⁷ is an apocalyptic number.

405947 is a deficient number, since it is larger than the sum of its proper divisors (1).

405947 is an equidigital number, since it uses as much as digits as its factorization.

405947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 405947 is about 637.1397021062. The cubic root of 405947 is about 74.0439840780.

The spelling of 405947 in words is "four hundred five thousand, nine hundred forty-seven".