905525 has 12 divisors (see below), whose sum is σ = 1162500. Its totient is φ = 698880.

The previous prime is 905507. The next prime is 905551. The reversal of 905525 is 525509.

It can be written as a sum of positive squares in 6 ways, for example, as 27556 + 877969 = 166^2 + 937^2 .

It is not a de Polignac number, because 905525 - 2⁶ = 905461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 905494 and 905503.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 101 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (96875).

2⁹⁰⁵⁵²⁵ is an apocalyptic number.

It is an amenable number.

905525 is a deficient number, since it is larger than the sum of its proper divisors (256975).

905525 is a wasteful number, since it uses less digits than its factorization.

905525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 905525 is about 951.5907733895. The cubic root of 905525 is about 96.7461032868.

The spelling of 905525 in words is "nine hundred five thousand, five hundred twenty-five".