506967 has 8 divisors (see below), whose sum is σ = 679296. Its totient is φ = 336312.

The previous prime is 506963. The next prime is 506983. The reversal of 506967 is 769605.

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

It is not a de Polignac number, because 506967 - 2² = 506963 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506967.

It is not an unprimeable number, because it can be changed into a prime (506963) 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, 798 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (84912).

2⁵⁰⁶⁹⁶⁷ is an apocalyptic number.

506967 is a deficient number, since it is larger than the sum of its proper divisors (172329).

506967 is a wasteful number, since it uses less digits than its factorization.

506967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 506967 is about 712.0161515022. The cubic root of 506967 is about 79.7370009244.

The spelling of 506967 in words is "five hundred six thousand, nine hundred sixty-seven".