2003625 has 48 divisors (see below), whose sum is σ = 3918096. Its totient is φ = 979200.

The previous prime is 2003621. The next prime is 2003627. The reversal of 2003625 is 5263002.

2003625 = 265² + 266² + ... + 290².

It can be written as a sum of positive squares in 8 ways, for example, as 944784 + 1058841 = 972^2 + 1029^2 .

It is not a de Polignac number, because 2003625 - 2² = 2003621 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2003598 and 2003607.

It is not an unprimeable number, because it can be changed into a prime (2003621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14557 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (81627).

2^2003625 is an apocalyptic number.

2003625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2003625 is a deficient number, since it is larger than the sum of its proper divisors (1914471).

2003625 is a wasteful number, since it uses less digits than its factorization.

2003625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2003625 is about 1415.4946132006. The cubic root of 2003625 is about 126.0681792765.

Adding to 2003625 its reverse (5263002), we get a palindrome (7266627).

It can be divided in two parts, 2003 and 625, that added together give a triangular number (2628 = T₇₂).

The spelling of 2003625 in words is "two million, three thousand, six hundred twenty-five".