96819 has 8 divisors (see below), whose sum is σ = 131520. Its totient is φ = 63336.

The previous prime is 96799. The next prime is 96821. The reversal of 96819 is 91869.

It is a happy number.

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

It is not a de Polignac number, because 96819 - 2⁵ = 96787 is a prime.

It is a super-2 number, since 2×96819² = 18747837522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 96819.

It is not an unprimeable number, because it can be changed into a prime (96419) 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, 97 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (16440).

2⁹⁶⁸¹⁹ is an apocalyptic number.

96819 is a deficient number, since it is larger than the sum of its proper divisors (34701).

96819 is a wasteful number, since it uses less digits than its factorization.

96819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609.

The product of its digits is 3888, while the sum is 33.

The square root of 96819 is about 311.1575163804. The cubic root of 96819 is about 45.9184124041.

Subtracting from 96819 its reverse (91869), we obtain a triangular number (4950 = T₉₉).

The spelling of 96819 in words is "ninety-six thousand, eight hundred nineteen".