2001825 has 72 divisors (see below), whose sum is σ = 4333056. Its totient is φ = 864000.

The previous prime is 2001809. The next prime is 2001833. The reversal of 2001825 is 5281002.

It is not a de Polignac number, because 2001825 - 2⁴ = 2001809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001798 and 2001807.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 48805 + ... + 48845.

2^2001825 is an apocalyptic number.

2001825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2001825 is an abundant number, since it is smaller than the sum of its proper divisors (2331231).

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

2001825 is a wasteful number, since it uses less digits than its factorization.

2001825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2001825 is about 1414.8586501838. The cubic root of 2001825 is about 126.0304159375.

Adding to 2001825 its reverse (5281002), we get a palindrome (7282827).

It can be divided in two parts, 200 and 1825, that added together give a square (2025 = 45²).

The spelling of 2001825 in words is "two million, one thousand, eight hundred twenty-five".