505907 has 2 divisors, whose sum is σ = 505908. Its totient is φ = 505906.

The previous prime is 505877. The next prime is 505919. The reversal of 505907 is 709505.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 505907 - 2¹⁶ = 440371 is a prime.

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 505907.

It is not a weakly prime, because it can be changed into another prime (505927) 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, 252953 + 252954.

It is an arithmetic number, because the mean of its divisors is an integer number (252954).

2⁵⁰⁵⁹⁰⁷ is an apocalyptic number.

505907 is a deficient number, since it is larger than the sum of its proper divisors (1).

505907 is an equidigital number, since it uses as much as digits as its factorization.

505907 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 505907 is about 711.2713968662. The cubic root of 505907 is about 79.6813890226.

The spelling of 505907 in words is "five hundred five thousand, nine hundred seven".