25662 has 32 divisors (see below), whose sum is σ = 64512. Its totient is φ = 6624.

The previous prime is 25657. The next prime is 25667. The reversal of 25662 is 26652.

25662 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (25657) and next prime (25667).

It is a Harshad number since it is a multiple of its sum of digits (21).

25662 is a Rhonda number in base 10.

Its product of digits (720) is a multiple of the sum of its prime divisors (72).

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 25662.

It is not an unprimeable number, because it can be changed into a prime (25667) 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, 523 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2²⁵⁶⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

25662 is an abundant number, since it is smaller than the sum of its proper divisors (38850).

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

25662 is a wasteful number, since it uses less digits than its factorization.

25662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72.

The product of its digits is 720, while the sum is 21.

The square root of 25662 is about 160.1936328323. The cubic root of 25662 is about 29.4960255107.

Subtracting from 25662 its product of digits (720), we obtain a palindrome (24942).

Subtracting 25662 from its reverse (26652), we obtain a triangular number (990 = T₄₄).

The spelling of 25662 in words is "twenty-five thousand, six hundred sixty-two".