97336128 has 56 divisors (see below), whose sum is σ = 259953760. Its totient is φ = 32140800.

The previous prime is 97336121. The next prime is 97336139. The reversal of 97336128 is 82163379.

97336128 is a nontrivial binomial coefficient, being equal to C(13953, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97336121) 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 7 ways as a sum of consecutive naturals, for example, 18603 + ... + 23253.

Almost surely, 2^97336128 is an apocalyptic number.

97336128 is the 13952-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129976880).

97336128 is an abundant number, since it is smaller than the sum of its proper divisors (162617632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97336128 is a wasteful number, since it uses less digits than its factorization.

97336128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4765 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 97336128 is about 9865.9073581704. The cubic root of 97336128 is about 460.0002016382. Note that the first 3 decimals are identical.

The spelling of 97336128 in words is "ninety-seven million, three hundred thirty-six thousand, one hundred twenty-eight".