506863 has 16 divisors (see below), whose sum is σ = 632320. Its totient is φ = 396576.

The previous prime is 506861. The next prime is 506873. The reversal of 506863 is 368605.

It is a cyclic number.

It is not a de Polignac number, because 506863 - 2¹ = 506861 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4870 + ... + 4972.

It is an arithmetic number, because the mean of its divisors is an integer number (39520).

2⁵⁰⁶⁸⁶³ is an apocalyptic number.

506863 is a deficient number, since it is larger than the sum of its proper divisors (125457).

506863 is a wasteful number, since it uses less digits than its factorization.

506863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 506863 is about 711.9431157052. The cubic root of 506863 is about 79.7315480940.

It can be divided in two parts, 506 and 863, that added together give a square (1369 = 37²).

The spelling of 506863 in words is "five hundred six thousand, eight hundred sixty-three".