96983105 has 16 divisors (see below), whose sum is σ = 123653520. Its totient is φ = 72882432.

The previous prime is 96983101. The next prime is 96983119. The reversal of 96983105 is 50138969.

It is a Cunningham number, because it is equal to 9848²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 20647936 + 76335169 = 4544^2 + 8737^2 .

It is a cyclic number.

It is not a de Polignac number, because 96983105 - 2² = 96983101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96983101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3674 + ... + 14403.

It is an arithmetic number, because the mean of its divisors is an integer number (7728345).

Almost surely, 2^96983105 is an apocalyptic number.

It is an amenable number.

96983105 is a deficient number, since it is larger than the sum of its proper divisors (26670415).

96983105 is a wasteful number, since it uses less digits than its factorization.

96983105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18148.

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 96983105 is about 9848.0000507717. Note that the first 4 decimals coincide. The cubic root of 96983105 is about 459.4434115647.

The spelling of 96983105 in words is "ninety-six million, nine hundred eighty-three thousand, one hundred five".