905125 has 16 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 667200.

The previous prime is 905123. The next prime is 905137. The reversal of 905125 is 521509.

It can be written as a sum of positive squares in 8 ways, for example, as 675684 + 229441 = 822^2 + 479^2 .

It is not a de Polignac number, because 905125 - 2¹ = 905123 is a prime.

905125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 905096 and 905105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1347 + ... + 1903.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2⁹⁰⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

905125 is a deficient number, since it is larger than the sum of its proper divisors (313547).

905125 is a wasteful number, since it uses less digits than its factorization.

905125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 905125 is about 951.3805757950. The cubic root of 905125 is about 96.7318558831.

The spelling of 905125 in words is "nine hundred five thousand, one hundred twenty-five".