96705 has 24 divisors (see below), whose sum is σ = 192192. Its totient is φ = 44064.

The previous prime is 96703. The next prime is 96731. The reversal of 96705 is 50769.

It is not a de Polignac number, because 96705 - 2¹ = 96703 is a prime.

It is an Ulam number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96705.

It is not an unprimeable number, because it can be changed into a prime (96703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2⁹⁶⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

96705 is a deficient number, since it is larger than the sum of its proper divisors (95487).

96705 is a wasteful number, since it uses less digits than its factorization.

96705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 96705 is about 310.9742754634. The cubic root of 96705 is about 45.9003830404.

The spelling of 96705 in words is "ninety-six thousand, seven hundred five".