96938961 has 32 divisors (see below), whose sum is σ = 151538688. Its totient is φ = 53976000.

The previous prime is 96938939. The next prime is 96938983. The reversal of 96938961 is 16983969.

It is an interprime number because it is at equal distance from previous prime (96938939) and next prime (96938983).

It is not a de Polignac number, because 96938961 - 2⁵ = 96938929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96938911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279190 + ... + 279536.

It is an arithmetic number, because the mean of its divisors is an integer number (4735584).

Almost surely, 2^96938961 is an apocalyptic number.

It is an amenable number.

96938961 is a deficient number, since it is larger than the sum of its proper divisors (54599727).

96938961 is a wasteful number, since it uses less digits than its factorization.

96938961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its digits is 629856, while the sum is 51.

The square root of 96938961 is about 9845.7585284223. The cubic root of 96938961 is about 459.3736923837.

The spelling of 96938961 in words is "ninety-six million, nine hundred thirty-eight thousand, nine hundred sixty-one".