903125 has 18 divisors (see below), whose sum is σ = 1199142. Its totient is φ = 680000.

The previous prime is 903109. The next prime is 903143. The reversal of 903125 is 521309.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 806404 + 96721 = 898^2 + 311^2 .

It is not a de Polignac number, because 903125 - 2⁴ = 903109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 903097 and 903106.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 903125.

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 17 ways as a sum of consecutive naturals, for example, 53117 + ... + 53133.

It is an arithmetic number, because the mean of its divisors is an integer number (66619).

2⁹⁰³¹²⁵ is an apocalyptic number.

It is an amenable number.

903125 is a deficient number, since it is larger than the sum of its proper divisors (296017).

903125 is an frugal number, since it uses more digits than its factorization.

903125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 903125 is about 950.3288904374. The cubic root of 903125 is about 96.6605558299.

Multiplying 903125 by its sum of digits (20), we get a square (18062500 = 4250²).

The spelling of 903125 in words is "nine hundred three thousand, one hundred twenty-five".