97921120 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 32665600.

The previous prime is 97921099. The next prime is 97921121. The reversal of 97921120 is 2112979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97921121) 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 31 ways as a sum of consecutive naturals, for example, 1659651 + ... + 1659709.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^97921120 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 97921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

97921120 is an abundant number, since it is smaller than the sum of its proper divisors (176416160).

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

97921120 is a wasteful number, since it uses less digits than its factorization.

97921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 97921120 is about 9895.5100929664. The cubic root of 97921120 is about 460.9198983109.

The spelling of 97921120 in words is "ninety-seven million, nine hundred twenty-one thousand, one hundred twenty".