25542 has 32 divisors (see below), whose sum is σ = 63360. Its totient is φ = 7560.

The previous prime is 25541. The next prime is 25561. The reversal of 25542 is 24552.

25542 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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 25542.

It is not an unprimeable number, because it can be changed into a prime (25541) 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, 573 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2²⁵⁵⁴² is an apocalyptic number.

25542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680).

25542 is an abundant number, since it is smaller than the sum of its proper divisors (37818).

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

25542 is a wasteful number, since it uses less digits than its factorization.

25542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 25542 is about 159.8186472224. The cubic root of 25542 is about 29.4499774684.

Subtracting from 25542 its reverse (24552), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 2554 and 2, that added together give a triangular number (2556 = T₇₁).

The spelling of 25542 in words is "twenty-five thousand, five hundred forty-two".