97735936 has 36 divisors (see below), whose sum is σ = 199265472. Its totient is φ = 47822336.

The previous prime is 97735933. The next prime is 97735987. The reversal of 97735936 is 63953779.

It is a self number, because there is not a number n which added to its sum of digits gives 97735936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97735931) 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 3 ways as a sum of consecutive naturals, for example, 7971 + ... + 16093.

It is an arithmetic number, because the mean of its divisors is an integer number (5535152).

Almost surely, 2^97735936 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 97735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99632736).

97735936 is an abundant number, since it is smaller than the sum of its proper divisors (101529536).

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

97735936 is an equidigital number, since it uses as much as digits as its factorization.

97735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8172 counting only the distinct ones).

The product of its digits is 1071630, while the sum is 49.

The square root of 97735936 is about 9886.1486940062. The cubic root of 97735936 is about 460.6291579900.

The spelling of 97735936 in words is "ninety-seven million, seven hundred thirty-five thousand, nine hundred thirty-six".