2004125 has 8 divisors (see below), whose sum is σ = 2501304. Its totient is φ = 1603200.

The previous prime is 2004109. The next prime is 2004131. The reversal of 2004125 is 5214002.

It can be written as a sum of positive squares in 4 ways, for example, as 597529 + 1406596 = 773^2 + 1186^2 .

It is not a de Polignac number, because 2004125 - 2⁴ = 2004109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7892 + ... + 8141.

It is an arithmetic number, because the mean of its divisors is an integer number (312663).

2^2004125 is an apocalyptic number.

2004125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2004125 is a deficient number, since it is larger than the sum of its proper divisors (497179).

2004125 is an equidigital number, since it uses as much as digits as its factorization.

2004125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16048 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2004125 is about 1415.6712188923. The cubic root of 2004125 is about 126.0786650789.

Adding to 2004125 its reverse (5214002), we get a palindrome (7218127).

The spelling of 2004125 in words is "two million, four thousand, one hundred twenty-five".