97305792 has 112 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 30853120.

The previous prime is 97305787. The next prime is 97305829. The reversal of 97305792 is 29750379.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 369853 + ... + 370115.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^97305792 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 97305792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

97305792 is an abundant number, since it is smaller than the sum of its proper divisors (173064000).

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

97305792 is a wasteful number, since it uses less digits than its factorization.

97305792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 97305792 is about 9864.3698227510. The cubic root of 97305792 is about 459.9524084349.

The spelling of 97305792 in words is "ninety-seven million, three hundred five thousand, seven hundred ninety-two".