506973 has 4 divisors (see below), whose sum is σ = 675968. Its totient is φ = 337980.

The previous prime is 506963. The next prime is 506983. The reversal of 506973 is 379605.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (506963) and next prime (506983).

It is not a de Polignac number, because 506973 - 2⁵ = 506941 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 506973.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506973.

It is not an unprimeable number, because it can be changed into a prime (506903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84493 + ... + 84498.

It is an arithmetic number, because the mean of its divisors is an integer number (168992).

2⁵⁰⁶⁹⁷³ is an apocalyptic number.

It is an amenable number.

506973 is a deficient number, since it is larger than the sum of its proper divisors (168995).

506973 is a wasteful number, since it uses less digits than its factorization.

506973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168994.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 506973 is about 712.0203648773. The cubic root of 506973 is about 79.7373154880.

The spelling of 506973 in words is "five hundred six thousand, nine hundred seventy-three".