50984 has 8 divisors (see below), whose sum is σ = 95610. Its totient is φ = 25488.

The previous prime is 50971. The next prime is 50989. The reversal of 50984 is 48905.

50984 = 6² + 7² + ... + 53².

It can be written as a sum of positive squares in only one way, i.e., 36100 + 14884 = 190^2 + 122^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50984.

It is not an unprimeable number, because it can be changed into a prime (50989) 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 as a sum of consecutive naturals, namely, 3179 + ... + 3194.

2⁵⁰⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

50984 is a deficient number, since it is larger than the sum of its proper divisors (44626).

50984 is a wasteful number, since it uses less digits than its factorization.

50984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 50984 is about 225.7963684385. The cubic root of 50984 is about 37.0804191905.

The spelling of 50984 in words is "fifty thousand, nine hundred eighty-four".