96889 has 8 divisors (see below), whose sum is σ = 108360. Its totient is φ = 86016.

The previous prime is 96857. The next prime is 96893. The reversal of 96889 is 98869.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 71289 = 160^2 + 267^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 96889 - 2⁵ = 96857 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (13545).

2⁹⁶⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

96889 is a deficient number, since it is larger than the sum of its proper divisors (11471).

96889 is a wasteful number, since it uses less digits than its factorization.

96889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its digits is 31104, while the sum is 40.

The square root of 96889 is about 311.2699792784. The cubic root of 96889 is about 45.9294760539.

It can be divided in two parts, 9 and 6889, that multiplied together give a square (62001 = 249²).

The spelling of 96889 in words is "ninety-six thousand, eight hundred eighty-nine".