96884 has 12 divisors (see below), whose sum is σ = 173124. Its totient is φ = 47424.

The previous prime is 96857. The next prime is 96893. The reversal of 96884 is 48869.

96884 = T₃₂ + T₃₃ + ... + T₈₄.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 19600 = 278^2 + 140^2 .

It is an Ulam number.

Its product of digits (13824) is a multiple of the sum of its prime divisors (512).

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, 17 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (14427).

2⁹⁶⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

96884 is a deficient number, since it is larger than the sum of its proper divisors (76240).

96884 is a wasteful number, since it uses less digits than its factorization.

96884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 96884 is about 311.2619475619. The cubic root of 96884 is about 45.9286859700.

The spelling of 96884 in words is "ninety-six thousand, eight hundred eighty-four".