2585 has 8 divisors (see below), whose sum is σ = 3456. Its totient is φ = 1840.

The previous prime is 2579. The next prime is 2591. The reversal of 2585 is 5852.

2585 = 10² + 11² + ... + 20².

It is an interprime number because it is at equal distance from previous prime (2579) and next prime (2591).

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

It is not a de Polignac number, because 2585 - 2⁶ = 2521 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32 + ... + 78.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

It is an amenable number.

2585 is a deficient number, since it is larger than the sum of its proper divisors (871).

2585 is a wasteful number, since it uses less digits than its factorization.

2585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63.

The product of its digits is 400, while the sum is 20.

The square root of 2585 is about 50.8428952755. The cubic root of 2585 is about 13.7241940219.

The spelling of 2585 in words is "two thousand, five hundred eighty-five".