507285 has 12 divisors (see below), whose sum is σ = 879372. Its totient is φ = 270528.

The previous prime is 507217. The next prime is 507289. The reversal of 507285 is 582705.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 352836 = 393^2 + 594^2 .

It is not a de Polignac number, because 507285 - 2⁸ = 507029 is a prime.

It is a Curzon number.

507285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507289) 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 11 ways as a sum of consecutive naturals, for example, 5592 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (73281).

2⁵⁰⁷²⁸⁵ is an apocalyptic number.

It is an amenable number.

507285 is a deficient number, since it is larger than the sum of its proper divisors (372087).

507285 is a wasteful number, since it uses less digits than its factorization.

507285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11281 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 507285 is about 712.2394260359. The cubic root of 507285 is about 79.7536693771.

The spelling of 507285 in words is "five hundred seven thousand, two hundred eighty-five".