52585 has 8 divisors (see below), whose sum is σ = 68040. Its totient is φ = 38784.

The previous prime is 52583. The next prime is 52609. The reversal of 52585 is 58525.

It can be written as a sum of positive squares in 4 ways, for example, as 5929 + 46656 = 77^2 + 216^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 52585 - 2¹ = 52583 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52583) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2⁵²⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

52585 is a deficient number, since it is larger than the sum of its proper divisors (15455).

52585 is a wasteful number, since it uses less digits than its factorization.

52585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827.

The product of its digits is 2000, while the sum is 25.

The square root of 52585 is about 229.3141949379. The cubic root of 52585 is about 37.4645591083.

The spelling of 52585 in words is "fifty-two thousand, five hundred eighty-five".