97813856 has 48 divisors (see below), whose sum is σ = 221001984. Its totient is φ = 41745024.

The previous prime is 97813853. The next prime is 97813889. The reversal of 97813856 is 65831879.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 97813856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97813853) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62621 + ... + 64163.

It is an arithmetic number, because the mean of its divisors is an integer number (4604208).

Almost surely, 2^97813856 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 97813856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110500992).

97813856 is an abundant number, since it is smaller than the sum of its proper divisors (123188128).

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

97813856 is a wasteful number, since it uses less digits than its factorization.

97813856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 97813856 is about 9890.0887761435. The cubic root of 97813856 is about 460.7515377114.

The spelling of 97813856 in words is "ninety-seven million, eight hundred thirteen thousand, eight hundred fifty-six".