96584 has 8 divisors (see below), whose sum is σ = 181110. Its totient is φ = 48288.

The previous prime is 96581. The next prime is 96587. The reversal of 96584 is 48569.

It is an interprime number because it is at equal distance from previous prime (96581) and next prime (96587).

It can be written as a sum of positive squares in only one way, i.e., 96100 + 484 = 310^2 + 22^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 96584.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96584.

It is not an unprimeable number, because it can be changed into a prime (96581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6029 + ... + 6044.

2⁹⁶⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

96584 is a deficient number, since it is larger than the sum of its proper divisors (84526).

96584 is a wasteful number, since it uses less digits than its factorization.

96584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079 (or 12075 counting only the distinct ones).

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

The square root of 96584 is about 310.7796647144. The cubic root of 96584 is about 45.8812311028.

The spelling of 96584 in words is "ninety-six thousand, five hundred eighty-four".