25812 has 24 divisors (see below), whose sum is σ = 67200. Its totient is φ = 8568.

The previous prime is 25801. The next prime is 25819. The reversal of 25812 is 21852.

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

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

It is a plaindrome in base 15.

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 25812.

It is not an unprimeable number, because it can be changed into a prime (25819) by changing a digit.

25812 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 7 ways as a sum of consecutive naturals, for example, 12 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2²⁵⁸¹² 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 25812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

25812 is an abundant number, since it is smaller than the sum of its proper divisors (41388).

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

25812 is a wasteful number, since it uses less digits than its factorization.

25812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 25812 is about 160.6611340680. The cubic root of 25812 is about 29.5533841366.

Subtracting from 25812 its product of digits (160), we obtain a palindrome (25652).

The spelling of 25812 in words is "twenty-five thousand, eight hundred twelve".