506667 has 16 divisors (see below), whose sum is σ = 806400. Its totient is φ = 276672.

The previous prime is 506663. The next prime is 506683. The reversal of 506667 is 766605.

It is not a de Polignac number, because 506667 - 2² = 506663 is a prime.

It is a super-2 number, since 2×506667² = 513422897778, which contains 22 as substring.

506667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (506663) 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, 42 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2⁵⁰⁶⁶⁶⁷ is an apocalyptic number.

506667 is a deficient number, since it is larger than the sum of its proper divisors (299733).

506667 is a wasteful number, since it uses less digits than its factorization.

506667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 506667 is about 711.8054509485. The cubic root of 506667 is about 79.7212695781.

The spelling of 506667 in words is "five hundred six thousand, six hundred sixty-seven".