96838511 has 32 divisors (see below), whose sum is σ = 132295680. Its totient is φ = 68544000.

The previous prime is 96838499. The next prime is 96838519. The reversal of 96838511 is 11583869.

It is not a de Polignac number, because 96838511 - 2⁶ = 96838447 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96838519) 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, 36686 + ... + 39236.

It is an arithmetic number, because the mean of its divisors is an integer number (4134240).

Almost surely, 2^96838511 is an apocalyptic number.

96838511 is a deficient number, since it is larger than the sum of its proper divisors (35457169).

96838511 is a wasteful number, since it uses less digits than its factorization.

96838511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615.

The product of its digits is 51840, while the sum is 41.

The square root of 96838511 is about 9840.6560248796. The cubic root of 96838511 is about 459.2149669529.

The spelling of 96838511 in words is "ninety-six million, eight hundred thirty-eight thousand, five hundred eleven".