506765 has 8 divisors (see below), whose sum is σ = 695040. Its totient is φ = 347472.

The previous prime is 506743. The next prime is 506773. The reversal of 506765 is 567605.

506765 = 410² + 411² + 412².

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 506765 - 2¹² = 502669 is a prime.

It is a Curzon number.

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 506765.

It is an unprimeable number.

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, 7205 + ... + 7274.

It is an arithmetic number, because the mean of its divisors is an integer number (86880).

2⁵⁰⁶⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

506765 is a deficient number, since it is larger than the sum of its proper divisors (188275).

506765 is a wasteful number, since it uses less digits than its factorization.

506765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14491.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 506765 is about 711.8742866546. The cubic root of 506765 is about 79.7264091673.

The spelling of 506765 in words is "five hundred six thousand, seven hundred sixty-five".