97145888 has 96 divisors (see below), whose sum is σ = 234710784. Its totient is φ = 38633472.

The previous prime is 97145887. The next prime is 97145891. The reversal of 97145888 is 88854179.

It is not an unprimeable number, because it can be changed into a prime (97145887) 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, 369245 + ... + 369507.

It is an arithmetic number, because the mean of its divisors is an integer number (2444904).

Almost surely, 2^97145888 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 97145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117355392).

97145888 is an abundant number, since it is smaller than the sum of its proper divisors (137564896).

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

97145888 is a wasteful number, since it uses less digits than its factorization.

97145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its digits is 645120, while the sum is 50.

The square root of 97145888 is about 9856.2613601710. The cubic root of 97145888 is about 459.7003215075.

The spelling of 97145888 in words is "ninety-seven million, one hundred forty-five thousand, eight hundred eighty-eight".