97165920 has 192 divisors, whose sum is σ = 322237440. Its totient is φ = 24588288.

The previous prime is 97165919. The next prime is 97165927. The reversal of 97165920 is 2956179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97165927) 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, 1331004 + ... + 1331076.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2^97165920 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 97165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

97165920 is an abundant number, since it is smaller than the sum of its proper divisors (225071520).

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

97165920 is a wasteful number, since it uses less digits than its factorization.

97165920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 97165920 is about 9857.2775146082. The cubic root of 97165920 is about 459.7319168883.

The spelling of 97165920 in words is "ninety-seven million, one hundred sixty-five thousand, nine hundred twenty".