506993 has 2 divisors, whose sum is σ = 506994. Its totient is φ = 506992.

The previous prime is 506983. The next prime is 506999. The reversal of 506993 is 399605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506944 + 49 = 712^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 506993 - 2⁶ = 506929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253496 + 253497.

It is an arithmetic number, because the mean of its divisors is an integer number (253497).

2⁵⁰⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

506993 is a deficient number, since it is larger than the sum of its proper divisors (1).

506993 is an equidigital number, since it uses as much as digits as its factorization.

506993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 506993 is about 712.0344092809. The cubic root of 506993 is about 79.7383640155.

The spelling of 506993 in words is "five hundred six thousand, nine hundred ninety-three".