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25984 = 27729

25984 has 32 divisors (see below), whose sum is σ = 61200. Its totient is φ = 10752.

The previous prime is 25981. The next prime is 25997. The reversal of 25984 is 48952.

Subtracting from 25984 its product of digits (2880), we obtain a square (23104 = 1522).

It can be divided in two parts, 259 and 84, that added together give a palindrome (343).

25984 = T27 + T28 + ... + T55.

It is a happy number.

25984 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 882 + ... + 910.

225984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600).

25984 is an abundant number, since it is smaller than the sum of its proper divisors (35216).

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

25984 is an equidigital number, since it uses as much as digits as its factorization.

25984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 25984 is about 161.1955334369. The cubic root of 25984 is about 29.6188825221.

The spelling of 25984 in words is "twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 6496 12992 25984