506823 has 8 divisors (see below), whose sum is σ = 679536. Its totient is φ = 336000.

The previous prime is 506809. The next prime is 506837. The reversal of 506823 is 328605.

It is an interprime number because it is at equal distance from previous prime (506809) and next prime (506837).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 506823 - 2⁵ = 506791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506793 and 506802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (84942).

2⁵⁰⁶⁸²³ is an apocalyptic number.

506823 is a deficient number, since it is larger than the sum of its proper divisors (172713).

506823 is a wasteful number, since it uses less digits than its factorization.

506823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 506823 is about 711.9150230189. The cubic root of 506823 is about 79.7294506529.

The spelling of 506823 in words is "five hundred six thousand, eight hundred twenty-three".