97225920 has 420 divisors, whose sum is σ = 392411712. Its totient is φ = 22809600.

The previous prime is 97225901. The next prime is 97225943. The reversal of 97225920 is 2952279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136305 + ... + 3136335.

Almost surely, 2^97225920 is an apocalyptic number.

97225920 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 97225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196205856).

97225920 is an abundant number, since it is smaller than the sum of its proper divisors (295185792).

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

97225920 is a wasteful number, since it uses less digits than its factorization.

97225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 97225920 is about 9860.3204816071. The cubic root of 97225920 is about 459.8265256402.

It can be divided in two parts, 972259 and 20, that added together give a palindrome (972279).

The spelling of 97225920 in words is "ninety-seven million, two hundred twenty-five thousand, nine hundred twenty".