505267 has 16 divisors (see below), whose sum is σ = 633600. Its totient is φ = 393120.

The previous prime is 505237. The next prime is 505277. The reversal of 505267 is 762505.

It is a happy number.

It is not a de Polignac number, because 505267 - 2⁷ = 505139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505237) 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 in 15 ways as a sum of consecutive naturals, for example, 3792 + ... + 3922.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2⁵⁰⁵²⁶⁷ is an apocalyptic number.

505267 is a deficient number, since it is larger than the sum of its proper divisors (128333).

505267 is a wasteful number, since it uses less digits than its factorization.

505267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 505267 is about 710.8213558975. The cubic root of 505267 is about 79.6477744068.

The spelling of 505267 in words is "five hundred five thousand, two hundred sixty-seven".