96807 has 12 divisors (see below), whose sum is σ = 137144. Its totient is φ = 60720.

The previous prime is 96799. The next prime is 96821. The reversal of 96807 is 70869.

It is a happy number.

It is not a de Polignac number, because 96807 - 2³ = 96799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96807.

It is not an unprimeable number, because it can be changed into a prime (96827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1557 + ... + 1617.

2⁹⁶⁸⁰⁷ is an apocalyptic number.

96807 is a deficient number, since it is larger than the sum of its proper divisors (40337).

96807 is a wasteful number, since it uses less digits than its factorization.

96807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 96807 is about 311.1382329448. The cubic root of 96807 is about 45.9165152430.

It can be divided in two parts, 96 and 807, that added together give a triangular number (903 = T₄₂).

The spelling of 96807 in words is "ninety-six thousand, eight hundred seven".