97024032 has 288 divisors, whose sum is σ = 353808000. Its totient is φ = 24551424.

The previous prime is 97023967. The next prime is 97024091. The reversal of 97024032 is 23042079.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 97023987 and 97024005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651094 + ... + 651242.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^97024032 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 97024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

97024032 is an abundant number, since it is smaller than the sum of its proper divisors (256783968).

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

97024032 is a wasteful number, since it uses less digits than its factorization.

97024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 97024032 is about 9850.0777661905. The cubic root of 97024032 is about 459.5080310537.

The spelling of 97024032 in words is "ninety-seven million, twenty-four thousand, thirty-two".