96385 has 8 divisors (see below), whose sum is σ = 119016. Its totient is φ = 74880.

The previous prime is 96377. The next prime is 96401. The reversal of 96385 is 58369.

96385 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 78961 = 132^2 + 281^2 .

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

It is not a de Polignac number, because 96385 - 2³ = 96377 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (14877).

2⁹⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

96385 is a deficient number, since it is larger than the sum of its proper divisors (22631).

96385 is a wasteful number, since it uses less digits than its factorization.

96385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its digits is 6480, while the sum is 31.

The square root of 96385 is about 310.4593371120. The cubic root of 96385 is about 45.8496984719.

The spelling of 96385 in words is "ninety-six thousand, three hundred eighty-five".