65984 has 14 divisors (see below), whose sum is σ = 131064. Its totient is φ = 32960.

The previous prime is 65983. The next prime is 65993. The reversal of 65984 is 48956.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 65984.

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 65984.

It is not an unprimeable number, because it can be changed into a prime (65981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452 + ... + 579.

2⁶⁵⁹⁸⁴ is an apocalyptic number.

65984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65984 is a deficient number, since it is larger than the sum of its proper divisors (65080).

65984 is a wasteful number, since it uses less digits than its factorization.

65984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 65984 is about 256.8735097280. The cubic root of 65984 is about 40.4091342938.

The spelling of 65984 in words is "sixty-five thousand, nine hundred eighty-four".