505967 has 8 divisors (see below), whose sum is σ = 630912. Its totient is φ = 394200.

The previous prime is 505961. The next prime is 505969. The reversal of 505967 is 769505.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 505967 - 2⁸ = 505711 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505961) 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 7 ways as a sum of consecutive naturals, for example, 3209 + ... + 3362.

It is an arithmetic number, because the mean of its divisors is an integer number (78864).

2⁵⁰⁵⁹⁶⁷ is an apocalyptic number.

505967 is a deficient number, since it is larger than the sum of its proper divisors (124945).

505967 is a wasteful number, since it uses less digits than its factorization.

505967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 505967 is about 711.3135736087. The cubic root of 505967 is about 79.6845389391.

The spelling of 505967 in words is "five hundred five thousand, nine hundred sixty-seven".