983424 has 64 divisors (see below), whose sum is σ = 2827440. Its totient is φ = 301056.

The previous prime is 983407. The next prime is 983429. The reversal of 983424 is 424389.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 983391 and 983400.

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 983424.

It is not an unprimeable number, because it can be changed into a prime (983429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4894 + ... + 5090.

2⁹⁸³⁴²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413720).

983424 is an abundant number, since it is smaller than the sum of its proper divisors (1844016).

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

983424 is a wasteful number, since it uses less digits than its factorization.

983424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 983424 is about 991.6773668891. The cubic root of 983424 is about 99.4443853072. Note that the first 3 decimals are identical.

It can be divided in two parts, 98342 and 4, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 983424 in words is "nine hundred eighty-three thousand, four hundred twenty-four".