96882 has 16 divisors (see below), whose sum is σ = 197472. Its totient is φ = 31680.

The previous prime is 96857. The next prime is 96893. The reversal of 96882 is 28869.

Added to its reverse (28869) it gives a triangular number (125751 = T₅₀₁).

It is a super-2 number, since 2×96882² = 18772243848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (12342).

2⁹⁶⁸⁸² is an apocalyptic number.

96882 is an abundant number, since it is smaller than the sum of its proper divisors (100590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98736).

96882 is a wasteful number, since it uses less digits than its factorization.

96882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its digits is 6912, while the sum is 33.

The square root of 96882 is about 311.2587348172. The cubic root of 96882 is about 45.9283699288.

Adding to 96882 its reverse (28869), we get a triangular number (125751 = T₅₀₁).

The spelling of 96882 in words is "ninety-six thousand, eight hundred eighty-two".