97001856 has 192 divisors, whose sum is σ = 333515520. Its totient is φ = 26459136.

The previous prime is 97001837. The next prime is 97001857. The reversal of 97001856 is 65810079.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 97001856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97001857) 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, 185211 + ... + 185733.

It is an arithmetic number, because the mean of its divisors is an integer number (1737060).

Almost surely, 2^97001856 is an apocalyptic number.

97001856 is a gapful number since it is divisible by the number (96) 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 97001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166757760).

97001856 is an abundant number, since it is smaller than the sum of its proper divisors (236513664).

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

97001856 is a wasteful number, since it uses less digits than its factorization.

97001856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 97001856 is about 9848.9520254695. The cubic root of 97001856 is about 459.4730197054.

The spelling of 97001856 in words is "ninety-seven million, one thousand, eight hundred fifty-six".