506997 has 6 divisors (see below), whose sum is σ = 732342. Its totient is φ = 337992.

The previous prime is 506993. The next prime is 506999. The reversal of 506997 is 799605.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 221841 = 534^2 + 471^2 .

It is not a de Polignac number, because 506997 - 2² = 506993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506993) 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 5 ways as a sum of consecutive naturals, for example, 28158 + ... + 28175.

It is an arithmetic number, because the mean of its divisors is an integer number (122057).

2⁵⁰⁶⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

506997 is a deficient number, since it is larger than the sum of its proper divisors (225345).

506997 is a wasteful number, since it uses less digits than its factorization.

506997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56339 (or 56336 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 506997 is about 712.0372181284. The cubic root of 506997 is about 79.7385737176.

The spelling of 506997 in words is "five hundred six thousand, nine hundred ninety-seven".