529984 has 63 divisors (see below), whose sum is σ = 1324737. Its totient is φ = 209664.

The previous prime is 529981. The next prime is 529987. The reversal of 529984 is 489925.

The square root of 529984 is 728.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (529981) and next prime (529987).

It can be written as a sum of positive squares in only one way, i.e., 78400 + 451584 = 280^2 + 672^2 .

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (529981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40762 + ... + 40774.

2⁵²⁹⁹⁸⁴ is an apocalyptic number.

529984 is the 728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529984

529984 is an abundant number, since it is smaller than the sum of its proper divisors (794753).

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

529984 is a wasteful number, since it uses less digits than its factorization.

529984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The cubic root of 529984 is about 80.9259089805.

The spelling of 529984 in words is "five hundred twenty-nine thousand, nine hundred eighty-four".