513846 has 12 divisors (see below), whose sum is σ = 1113372. Its totient is φ = 171276.

The previous prime is 513841. The next prime is 513871. The reversal of 513846 is 648315.

It is a Curzon number.

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 513846.

It is not an unprimeable number, because it can be changed into a prime (513841) 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 5 ways as a sum of consecutive naturals, for example, 14256 + ... + 14291.

It is an arithmetic number, because the mean of its divisors is an integer number (92781).

2⁵¹³⁸⁴⁶ is an apocalyptic number.

513846 is an abundant number, since it is smaller than the sum of its proper divisors (599526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513846 is a wasteful number, since it uses less digits than its factorization.

513846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28555 (or 28552 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 513846 is about 716.8305239037. The cubic root of 513846 is about 80.0960305140.

It can be divided in two parts, 5138 and 46, that added together give a square (5184 = 72²).

The spelling of 513846 in words is "five hundred thirteen thousand, eight hundred forty-six".