506767 has 4 divisors (see below), whose sum is σ = 510040. Its totient is φ = 503496.

The previous prime is 506743. The next prime is 506773. The reversal of 506767 is 767605.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 767605 = 5 ⋅153521.

It is a cyclic number.

It is not a de Polignac number, because 506767 - 2¹⁵ = 473999 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 (506797) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1392 + ... + 1717.

It is an arithmetic number, because the mean of its divisors is an integer number (127510).

2⁵⁰⁶⁷⁶⁷ is an apocalyptic number.

506767 is a deficient number, since it is larger than the sum of its proper divisors (3273).

506767 is a wasteful number, since it uses less digits than its factorization.

506767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 506767 is about 711.8756913956. The cubic root of 506767 is about 79.7265140500.

The spelling of 506767 in words is "five hundred six thousand, seven hundred sixty-seven".