506797 has 2 divisors, whose sum is σ = 506798. Its totient is φ = 506796.

The previous prime is 506791. The next prime is 506809. The reversal of 506797 is 797605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 114921 = 626^2 + 339^2 .

It is a cyclic number.

It is not a de Polignac number, because 506797 - 2¹⁵ = 474029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253398 + 253399.

It is an arithmetic number, because the mean of its divisors is an integer number (253399).

2⁵⁰⁶⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

506797 is a deficient number, since it is larger than the sum of its proper divisors (1).

506797 is an equidigital number, since it uses as much as digits as its factorization.

506797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 506797 is about 711.8967621783. The cubic root of 506797 is about 79.7280872570.

The spelling of 506797 in words is "five hundred six thousand, seven hundred ninety-seven".