96509 has 8 divisors (see below), whose sum is σ = 116928. Its totient is φ = 77760.

The previous prime is 96497. The next prime is 96517. The reversal of 96509 is 90569.

96509 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 96509 - 2⁴ = 96493 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96589) 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, 287 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2⁹⁶⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

96509 is a deficient number, since it is larger than the sum of its proper divisors (20419).

96509 is a wasteful number, since it uses less digits than its factorization.

96509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835.

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 96509 is about 310.6589770150. The cubic root of 96509 is about 45.8693520358.

The spelling of 96509 in words is "ninety-six thousand, five hundred nine".