25205 has 6 divisors (see below), whose sum is σ = 30678. Its totient is φ = 19880.

The previous prime is 25189. The next prime is 25219. The reversal of 25205 is 50252.

25205 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20164 + 5041 = 142^2 + 71^2 .

It is not a de Polignac number, because 25205 - 2⁴ = 25189 is a prime.

It is a Duffinian number.

25205 is strictly pandigital in base 6.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 25205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 320 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (5113).

2²⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

25205 is a deficient number, since it is larger than the sum of its proper divisors (5473).

25205 is an frugal number, since it uses more digits than its factorization.

25205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 25205 is about 158.7608264025. The cubic root of 25205 is about 29.3198830668.

Adding to 25205 its reverse (50252), we get a palindrome (75457).

The spelling of 25205 in words is "twenty-five thousand, two hundred five".