97083168 has 96 divisors (see below), whose sum is σ = 313681536. Its totient is φ = 25602048.

The previous prime is 97083167. The next prime is 97083257. The reversal of 97083168 is 86138079.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (97083167) 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 15 ways as a sum of consecutive naturals, for example, 3180 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (3267516).

Almost surely, 2^97083168 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 97083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156840768).

97083168 is an abundant number, since it is smaller than the sum of its proper divisors (216598368).

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

97083168 is a wasteful number, since it uses less digits than its factorization.

97083168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11146 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 97083168 is about 9853.0791126429. The cubic root of 97083168 is about 459.6013685754.

The spelling of 97083168 in words is "ninety-seven million, eighty-three thousand, one hundred sixty-eight".