249585 has 16 divisors (see below), whose sum is σ = 456576. Its totient is φ = 114048.

The previous prime is 249583. The next prime is 249589. The reversal of 249585 is 585942.

It is not a de Polignac number, because 249585 - 2¹ = 249583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (28536).

2²⁴⁹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

249585 is a deficient number, since it is larger than the sum of its proper divisors (206991).

249585 is a wasteful number, since it uses less digits than its factorization.

249585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392.

The product of its digits is 14400, while the sum is 33.

The square root of 249585 is about 499.5848276319. The cubic root of 249585 is about 62.9611753732.

The spelling of 249585 in words is "two hundred forty-nine thousand, five hundred eighty-five".