513984 has 28 divisors (see below), whose sum is σ = 1360424. Its totient is φ = 171264.

The previous prime is 513977. The next prime is 513991. The reversal of 513984 is 489315.

It is an interprime number because it is at equal distance from previous prime (513977) and next prime (513991).

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 513984.

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 3 ways as a sum of consecutive naturals, for example, 1147 + ... + 1530.

2⁵¹³⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

513984 is an abundant number, since it is smaller than the sum of its proper divisors (846440).

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

513984 is a wasteful number, since it uses less digits than its factorization.

513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2682 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 513984 is about 716.9267745035. The cubic root of 513984 is about 80.1032001477.

The spelling of 513984 in words is "five hundred thirteen thousand, nine hundred eighty-four".