506859 has 8 divisors (see below), whose sum is σ = 682560. Its totient is φ = 334536.

The previous prime is 506843. The next prime is 506861. The reversal of 506859 is 958605.

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

It is not a de Polignac number, because 506859 - 2⁴ = 506843 is a prime.

It is a super-3 number, since 3×506859³ = 390645424527593337, which contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (506809) 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, 469 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (85320).

2⁵⁰⁶⁸⁵⁹ is an apocalyptic number.

506859 is a deficient number, since it is larger than the sum of its proper divisors (175701).

506859 is a wasteful number, since it uses less digits than its factorization.

506859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 506859 is about 711.9403064864. The cubic root of 506859 is about 79.7313383548.

The spelling of 506859 in words is "five hundred six thousand, eight hundred fifty-nine".