506871 has 8 divisors (see below), whose sum is σ = 750960. Its totient is φ = 337896.

The previous prime is 506861. The next prime is 506873. The reversal of 506871 is 178605.

It is not a de Polignac number, because 506871 - 2⁷ = 506743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 18773 = 506871 / (5 + 0 + 6 + 8 + 7 + 1).

506871 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506873) 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, 9360 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (93870).

2⁵⁰⁶⁸⁷¹ is an apocalyptic number.

506871 is a deficient number, since it is larger than the sum of its proper divisors (244089).

506871 is a wasteful number, since it uses less digits than its factorization.

506871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18782 (or 18776 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 506871 is about 711.9487341094. The cubic root of 506871 is about 79.7319675689.

The spelling of 506871 in words is "five hundred six thousand, eight hundred seventy-one".