97329120 has 192 divisors, whose sum is σ = 355622400. Its totient is φ = 21915648.

The previous prime is 97329079. The next prime is 97329137. The reversal of 97329120 is 2192379.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278706 + ... + 279054.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 2^97329120 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 97329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

97329120 is an abundant number, since it is smaller than the sum of its proper divisors (258293280).

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

97329120 is a wasteful number, since it uses less digits than its factorization.

97329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 97329120 is about 9865.5521893100. The cubic root of 97329120 is about 459.9891616854.

The spelling of 97329120 in words is "ninety-seven million, three hundred twenty-nine thousand, one hundred twenty".