25704 has 64 divisors (see below), whose sum is σ = 86400. Its totient is φ = 6912.

The previous prime is 25703. The next prime is 25717. The reversal of 25704 is 40752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (25703) 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, 1504 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2²⁵⁷⁰⁴ is an apocalyptic number.

25704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

25704 is an abundant number, since it is smaller than the sum of its proper divisors (60696).

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

25704 is a wasteful number, since it uses less digits than its factorization.

25704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 25704 is about 160.3246705906. The cubic root of 25704 is about 29.5121084068.

It can be divided in two parts, 25 and 704, that added together give a 6-th power (729 = 3⁶).

The spelling of 25704 in words is "twenty-five thousand, seven hundred four".