1003125 has 24 divisors (see below), whose sum is σ = 1687392. Its totient is φ = 530000.

The previous prime is 1003111. The next prime is 1003133. The reversal of 1003125 is 5213001.

It is not a de Polignac number, because 1003125 - 2⁴ = 1003109 is a prime.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1003125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9322 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^1003125 is an apocalyptic number.

1003125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003125 is a deficient number, since it is larger than the sum of its proper divisors (684267).

1003125 is an frugal number, since it uses more digits than its factorization.

1003125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1003125 is about 1001.5612812005. The cubic root of 1003125 is about 100.1040583477.

Adding to 1003125 its reverse (5213001), we get a palindrome (6216126).

It can be divided in two parts, 1003 and 125, that added together give a triangular number (1128 = T₄₇).

The spelling of 1003125 in words is "one million, three thousand, one hundred twenty-five".