983364 has 36 divisors (see below), whose sum is σ = 2432304. Its totient is φ = 309168.

The previous prime is 983363. The next prime is 983371. The reversal of 983364 is 463389.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 983364.

It is not an unprimeable number, because it can be changed into a prime (983363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4219 + ... + 4445.

It is an arithmetic number, because the mean of its divisors is an integer number (67564).

2⁹⁸³³⁶⁴ 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 983364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216152).

983364 is an abundant number, since it is smaller than the sum of its proper divisors (1448940).

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

983364 is a wasteful number, since it uses less digits than its factorization.

983364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 983364 is about 991.6471146532. The cubic root of 983364 is about 99.4423628549.

The spelling of 983364 in words is "nine hundred eighty-three thousand, three hundred sixty-four".