25585 has 16 divisors (see below), whose sum is σ = 38016. Its totient is φ = 16128.

The previous prime is 25583. The next prime is 25589. The reversal of 25585 is 58552.

25585 = 1² + 2² + ... + 42².

It is not a de Polignac number, because 25585 - 2¹ = 25583 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (25583) 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, 574 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (2376).

2²⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

25585 is a deficient number, since it is larger than the sum of its proper divisors (12431).

25585 is a wasteful number, since it uses less digits than its factorization.

25585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72.

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

The square root of 25585 is about 159.9531181315. The cubic root of 25585 is about 29.4664945653.

The spelling of 25585 in words is "twenty-five thousand, five hundred eighty-five".