506789 has 4 divisors (see below), whose sum is σ = 520524. Its totient is φ = 493056.

The previous prime is 506783. The next prime is 506791. The reversal of 506789 is 987605.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 987605 = 5 ⋅197521.

It can be written as a sum of positive squares in 2 ways, for example, as 209764 + 297025 = 458^2 + 545^2 .

It is a cyclic number.

It is not a de Polignac number, because 506789 - 2⁴ = 506773 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 (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 3 ways as a sum of consecutive naturals, for example, 6812 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (130131).

2⁵⁰⁶⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

506789 is a deficient number, since it is larger than the sum of its proper divisors (13735).

506789 is a wasteful number, since it uses less digits than its factorization.

506789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13734.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 506789 is about 711.8911433639. The cubic root of 506789 is about 79.7276677412.

The spelling of 506789 in words is "five hundred six thousand, seven hundred eighty-nine".