2005825 has 6 divisors (see below), whose sum is σ = 2487254. Its totient is φ = 1604640.

The previous prime is 2005799. The next prime is 2005831. The reversal of 2005825 is 5285002.

It can be written as a sum of positive squares in 3 ways, for example, as 641601 + 1364224 = 801^2 + 1168^2 .

It is not a de Polignac number, because 2005825 - 2¹⁹ = 1481537 is a prime.

It is a Duffinian number.

2005825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2005796 and 2005805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40092 + ... + 40141.

2^2005825 is an apocalyptic number.

2005825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005825 is a deficient number, since it is larger than the sum of its proper divisors (481429).

2005825 is an equidigital number, since it uses as much as digits as its factorization.

2005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80243 (or 80238 counting only the distinct ones).

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

The square root of 2005825 is about 1416.2715135171. The cubic root of 2005825 is about 126.1143037668.

The spelling of 2005825 in words is "two million, five thousand, eight hundred twenty-five".