405607 has 2 divisors, whose sum is σ = 405608. Its totient is φ = 405606.

The previous prime is 405599. The next prime is 405611. The reversal of 405607 is 706504.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 405607 - 2³ = 405599 is a prime.

405607 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202803 + 202804.

It is an arithmetic number, because the mean of its divisors is an integer number (202804).

2⁴⁰⁵⁶⁰⁷ is an apocalyptic number.

405607 is a deficient number, since it is larger than the sum of its proper divisors (1).

405607 is an equidigital number, since it uses as much as digits as its factorization.

405607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 405607 is about 636.8728287500. The cubic root of 405607 is about 74.0233065132.

Adding to 405607 its reverse (706504), we get a palindrome (1112111).

The spelling of 405607 in words is "four hundred five thousand, six hundred seven".