405497 has 2 divisors, whose sum is σ = 405498. Its totient is φ = 405496.

The previous prime is 405491. The next prime is 405499. The reversal of 405497 is 794504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 109561 = 544^2 + 331^2 .

It is a cyclic number.

It is not a de Polignac number, because 405497 - 2⁸ = 405241 is a prime.

Together with 405499, 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 405497.

It is not a weakly prime, because it can be changed into another prime (405491) 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, 202748 + 202749.

It is an arithmetic number, because the mean of its divisors is an integer number (202749).

2⁴⁰⁵⁴⁹⁷ is an apocalyptic number.

It is an amenable number.

405497 is a deficient number, since it is larger than the sum of its proper divisors (1).

405497 is an equidigital number, since it uses as much as digits as its factorization.

405497 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 405497 is about 636.7864634240. The cubic root of 405497 is about 74.0166142389.

The spelling of 405497 in words is "four hundred five thousand, four hundred ninety-seven".