25900 has 36 divisors (see below), whose sum is σ = 65968. Its totient is φ = 8640.

The previous prime is 25889. The next prime is 25903. The reversal of 25900 is 952.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (25903) by changing a digit.

25900 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 11 ways as a sum of consecutive naturals, for example, 682 + ... + 718.

2²⁵⁹⁰⁰ is an apocalyptic number.

25900 is a gapful number since it is divisible by the number (20) 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 25900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984).

25900 is an abundant number, since it is smaller than the sum of its proper divisors (40068).

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

25900 is a wasteful number, since it uses less digits than its factorization.

25900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 25900 is about 160.9347693943. The cubic root of 25900 is about 29.5869311677.

It can be divided in two parts, 25 and 900, that multiplied together give a square (22500 = 150²).

The spelling of 25900 in words is "twenty-five thousand, nine hundred".