97061328 has 200 divisors, whose sum is σ = 346172288. Its totient is φ = 25567488.

The previous prime is 97061299. The next prime is 97061333. The reversal of 97061328 is 82316079.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97061292 and 97061301.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 117525 + ... + 118347.

Almost surely, 2^97061328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97061328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173086144).

97061328 is an abundant number, since it is smaller than the sum of its proper divisors (249110960).

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

97061328 is a wasteful number, since it uses less digits than its factorization.

97061328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97061328 is about 9851.9707673135. The cubic root of 97061328 is about 459.5669017470.

The spelling of 97061328 in words is "ninety-seven million, sixty-one thousand, three hundred twenty-eight".