905013 has 10 divisors (see below), whose sum is σ = 1352054. Its totient is φ = 603288.

The previous prime is 905011. The next prime is 905053. The reversal of 905013 is 310509.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 142884 = 873^2 + 378^2 .

It is not a de Polignac number, because 905013 - 2¹ = 905011 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (905011) 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 9 ways as a sum of consecutive naturals, for example, 5506 + ... + 5667.

2⁹⁰⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

905013 is a deficient number, since it is larger than the sum of its proper divisors (447041).

905013 is a wasteful number, since it uses less digits than its factorization.

905013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11185 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 905013 is about 951.3217121458. The cubic root of 905013 is about 96.7278658578.

The spelling of 905013 in words is "nine hundred five thousand, thirteen".