97141872 has 80 divisors (see below), whose sum is σ = 261233280. Its totient is φ = 31078656.

The previous prime is 97141867. The next prime is 97141883. The reversal of 97141872 is 27814179.

Its product of digits (28224) is a multiple of the sum of its prime divisors (784).

It is a self number, because there is not a number n which added to its sum of digits gives 97141872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147079 + ... + 147737.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^97141872 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 97141872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130616640).

97141872 is an abundant number, since it is smaller than the sum of its proper divisors (164091408).

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

97141872 is a wasteful number, since it uses less digits than its factorization.

97141872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 97141872 is about 9856.0576297016. The cubic root of 97141872 is about 459.6939867672.

The spelling of 97141872 in words is "ninety-seven million, one hundred forty-one thousand, eight hundred seventy-two".