506787 has 16 divisors (see below), whose sum is σ = 754560. Its totient is φ = 300672.

The previous prime is 506783. The next prime is 506791. The reversal of 506787 is 787605.

It is an interprime number because it is at equal distance from previous prime (506783) and next prime (506791).

It is not a de Polignac number, because 506787 - 2² = 506783 is a prime.

506787 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506787.

It is not an unprimeable number, because it can be changed into a prime (506783) 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, 708 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (47160).

2⁵⁰⁶⁷⁸⁷ is an apocalyptic number.

506787 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

506787 is a deficient number, since it is larger than the sum of its proper divisors (247773).

506787 is a wasteful number, since it uses less digits than its factorization.

506787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 506787 is about 711.8897386534. The cubic root of 506787 is about 79.7275628616.

The spelling of 506787 in words is "five hundred six thousand, seven hundred eighty-seven".