506891 has 16 divisors (see below), whose sum is σ = 656640. Its totient is φ = 379680.

The previous prime is 506887. The next prime is 506893. The reversal of 506891 is 198605.

It is not a de Polignac number, because 506891 - 2² = 506887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁵⁰⁶⁸⁹¹ is an apocalyptic number.

506891 is a deficient number, since it is larger than the sum of its proper divisors (149749).

506891 is a wasteful number, since it uses less digits than its factorization.

506891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 506891 is about 711.9627799260. The cubic root of 506891 is about 79.7330162371.

The spelling of 506891 in words is "five hundred six thousand, eight hundred ninety-one".