25004 has 24 divisors (see below), whose sum is σ = 53760. Its totient is φ = 9936.

The previous prime is 24989. The next prime is 25013. The reversal of 25004 is 40052.

25004 = T₈₁ + T₈₂ + ... + T₈₇.

25004 is nontrivially palindromic in base 11.

It is a sliding number, since 25004 = 4 + 25000 and 1/4 + 1/25000 = 0.25004.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

25004 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, 509 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2²⁵⁰⁰⁴ 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 25004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880).

25004 is an abundant number, since it is smaller than the sum of its proper divisors (28756).

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

25004 is a wasteful number, since it uses less digits than its factorization.

25004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 25004 is about 158.1265316131. The cubic root of 25004 is about 29.2417367751.

Subtracting from 25004 its product of nonzero digits (40), we obtain a square (24964 = 158²).

Adding to 25004 its reverse (40052), we get a palindrome (65056).

It can be divided in two parts, 2500 and 4, that multiplied together give a 4-th power (10000 = 10⁴).

The spelling of 25004 in words is "twenty-five thousand, four".