97297920 has 240 divisors, whose sum is σ = 348540192. Its totient is φ = 25067520.

The previous prime is 97297909. The next prime is 97297927. The reversal of 97297920 is 2979279.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97297927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944589 + ... + 944691.

Almost surely, 2^97297920 is an apocalyptic number.

97297920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

97297920 is an abundant number, since it is smaller than the sum of its proper divisors (251242272).

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

97297920 is a wasteful number, since it uses less digits than its factorization.

97297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 97297920 is about 9863.9708028765. The cubic root of 97297920 is about 459.9400047779.

The spelling of 97297920 in words is "ninety-seven million, two hundred ninety-seven thousand, nine hundred twenty".