96825 has 12 divisors (see below), whose sum is σ = 160208. Its totient is φ = 51600.

The previous prime is 96823. The next prime is 96827. The reversal of 96825 is 52869.

96825 = 1⁷ + 2⁷ + ... + 5⁷.

It is an interprime number because it is at equal distance from previous prime (96823) and next prime (96827).

It is not a de Polignac number, because 96825 - 2¹ = 96823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96792 and 96801.

It is not an unprimeable number, because it can be changed into a prime (96821) 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, 571 + ... + 720.

2⁹⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

96825 is a deficient number, since it is larger than the sum of its proper divisors (63383).

96825 is a wasteful number, since it uses less digits than its factorization.

96825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1299 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 96825 is about 311.1671576500. The cubic root of 96825 is about 45.9193609258.

Subtracting from 96825 its reverse (52869), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 9 and 6825, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 96825 in words is "ninety-six thousand, eight hundred twenty-five".