93728961 has 16 divisors (see below), whose sum is σ = 139876800. Its totient is φ = 62027424.

The previous prime is 93728959. The next prime is 93728969. The reversal of 93728961 is 16982739.

93728961 = 443² + 444² + ... + 716².

It is not a de Polignac number, because 93728961 - 2¹ = 93728959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93728969) 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 15 ways as a sum of consecutive naturals, for example, 8971 + ... + 16368.

It is an arithmetic number, because the mean of its divisors is an integer number (8742300).

Almost surely, 2^93728961 is an apocalyptic number.

It is an amenable number.

93728961 is a deficient number, since it is larger than the sum of its proper divisors (46147839).

93728961 is a wasteful number, since it uses less digits than its factorization.

93728961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25485 (or 25479 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 93728961 is about 9681.3718552693. The cubic root of 93728961 is about 454.2461630877.

The spelling of 93728961 in words is "ninety-three million, seven hundred twenty-eight thousand, nine hundred sixty-one".