97705920 has 112 divisors (see below), whose sum is σ = 334121760. Its totient is φ = 24047616.

The previous prime is 97705913. The next prime is 97705921. The reversal of 97705920 is 2950779.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97705921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8566 + ... + 16394.

It is an arithmetic number, because the mean of its divisors is an integer number (2983230).

Almost surely, 2^97705920 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 97705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167060880).

97705920 is an abundant number, since it is smaller than the sum of its proper divisors (236415840).

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

97705920 is a wasteful number, since it uses less digits than its factorization.

97705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7862 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 97705920 is about 9884.6304938526. The cubic root of 97705920 is about 460.5819980574.

The spelling of 97705920 in words is "ninety-seven million, seven hundred five thousand, nine hundred twenty".