506173 has 2 divisors, whose sum is σ = 506174. Its totient is φ = 506172.

The previous prime is 506171. The next prime is 506183. The reversal of 506173 is 371605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 344569 + 161604 = 587^2 + 402^2 .

It is a cyclic number.

It is not a de Polignac number, because 506173 - 2¹ = 506171 is a prime.

It is a super-2 number, since 2×506173² = 512422211858, which contains 22 as substring.

Together with 506171, it forms a pair of twin primes.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506171) 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 as a sum of consecutive naturals, namely, 253086 + 253087.

It is an arithmetic number, because the mean of its divisors is an integer number (253087).

2⁵⁰⁶¹⁷³ is an apocalyptic number.

It is an amenable number.

506173 is a deficient number, since it is larger than the sum of its proper divisors (1).

506173 is an equidigital number, since it uses as much as digits as its factorization.

506173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 506173 is about 711.4583613958. The cubic root of 506173 is about 79.6953517574.

Adding to 506173 its reverse (371605), we get a palindrome (877778).

The spelling of 506173 in words is "five hundred six thousand, one hundred seventy-three".