25884 has 18 divisors (see below), whose sum is σ = 65520. Its totient is φ = 8616.

The previous prime is 25873. The next prime is 25889. The reversal of 25884 is 48852.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a house number.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25884.

It is not an unprimeable number, because it can be changed into a prime (25889) by changing a digit.

25884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 324 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

2²⁵⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

25884 is an abundant number, since it is smaller than the sum of its proper divisors (39636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25884 is a wasteful number, since it uses less digits than its factorization.

25884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 25884 is about 160.8850521335. The cubic root of 25884 is about 29.5808373657.

It can be divided in two parts, 25 and 884, that added together give a palindrome (909).

The spelling of 25884 in words is "twenty-five thousand, eight hundred eighty-four".