25825 has 6 divisors (see below), whose sum is σ = 32054. Its totient is φ = 20640.

The previous prime is 25819. The next prime is 25841. The reversal of 25825 is 52852.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 18769 = 84^2 + 137^2 .

It is not a de Polignac number, because 25825 - 2⁵ = 25793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25796 and 25805.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 492 + ... + 541.

2²⁵⁸²⁵ is an apocalyptic number.

25825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25825 is a deficient number, since it is larger than the sum of its proper divisors (6229).

25825 is a wasteful number, since it uses less digits than its factorization.

25825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1038 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 25825 is about 160.7015867999. The cubic root of 25825 is about 29.5583447430.

The spelling of 25825 in words is "twenty-five thousand, eight hundred twenty-five".