505117 has 2 divisors, whose sum is σ = 505118. Its totient is φ = 505116.

The previous prime is 505111. The next prime is 505123. The reversal of 505117 is 711505.

It is a balanced prime because it is at equal distance from previous prime (505111) and next prime (505123).

It can be written as a sum of positive squares in only one way, i.e., 285156 + 219961 = 534^2 + 469^2 .

It is a cyclic number.

It is not a de Polignac number, because 505117 - 2⁷ = 504989 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 505094 and 505103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252558 + 252559.

It is an arithmetic number, because the mean of its divisors is an integer number (252559).

2⁵⁰⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

505117 is a deficient number, since it is larger than the sum of its proper divisors (1).

505117 is an equidigital number, since it uses as much as digits as its factorization.

505117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 505117 is about 710.7158363228. The cubic root of 505117 is about 79.6398918756.

The spelling of 505117 in words is "five hundred five thousand, one hundred seventeen".