96806 has 8 divisors (see below), whose sum is σ = 147000. Its totient is φ = 47808.

The previous prime is 96799. The next prime is 96821. The reversal of 96806 is 60869.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (18375).

2⁹⁶⁸⁰⁶ is an apocalyptic number.

96806 is a deficient number, since it is larger than the sum of its proper divisors (50194).

96806 is a wasteful number, since it uses less digits than its factorization.

96806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 96806 is about 311.1366259379. The cubic root of 96806 is about 45.9163571392.

Subtracting from 96806 its reverse (60869), we obtain a cube (35937 = 33³).

The spelling of 96806 in words is "ninety-six thousand, eight hundred six".