97735056 has 80 divisors (see below), whose sum is σ = 262137984. Its totient is φ = 31352832.

The previous prime is 97735051. The next prime is 97735063. The reversal of 97735056 is 65053779.

It is a junction number, because it is equal to n+sod(n) for n = 97734999 and 97735017.

It is not an unprimeable number, because it can be changed into a prime (97735051) 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, 200445 + ... + 200931.

Almost surely, 2^97735056 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 97735056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131068992).

97735056 is an abundant number, since it is smaller than the sum of its proper divisors (164402928).

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

97735056 is a wasteful number, since it uses less digits than its factorization.

97735056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 97735056 is about 9886.1041871912. The cubic root of 97735056 is about 460.6277755068.

The spelling of 97735056 in words is "ninety-seven million, seven hundred thirty-five thousand, fifty-six".