96850 has 24 divisors (see below), whose sum is σ = 195300. Its totient is φ = 35520.

The previous prime is 96847. The next prime is 96851. The reversal of 96850 is 5869.

It can be written as a sum of positive squares in 6 ways, for example, as 5041 + 91809 = 71^2 + 303^2 .

It is not an unprimeable number, because it can be changed into a prime (96851) 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, 576 + ... + 724.

2⁹⁶⁸⁵⁰ is an apocalyptic number.

96850 is an abundant number, since it is smaller than the sum of its proper divisors (98450).

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 (97650).

96850 is a wasteful number, since it uses less digits than its factorization.

96850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 96850 is about 311.2073263919. The cubic root of 96850 is about 45.9233126781.

It can be divided in two parts, 968 and 50, that multiplied together give a square (48400 = 220²).

The spelling of 96850 in words is "ninety-six thousand, eight hundred fifty".