97114368 has 144 divisors (see below), whose sum is σ = 284328576. Its totient is φ = 29245440.

The previous prime is 97114357. The next prime is 97114373. The reversal of 97114368 is 86341179.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 708796 + ... + 708932.

It is an arithmetic number, because the mean of its divisors is an integer number (1974504).

Almost surely, 2^97114368 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 97114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142164288).

97114368 is an abundant number, since it is smaller than the sum of its proper divisors (187214208).

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

97114368 is a wasteful number, since it uses less digits than its factorization.

97114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 97114368 is about 9854.6622468758. The cubic root of 97114368 is about 459.6505979360.

The spelling of 97114368 in words is "ninety-seven million, one hundred fourteen thousand, three hundred sixty-eight".