97917032736 has 144 divisors (see below), whose sum is σ = 289398904704. Its totient is φ = 32567318784.

The previous prime is 97917032711. The next prime is 97917032737. The reversal of 97917032736 is 63723071979.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97917032737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3586690 + ... + 3613886.

It is an arithmetic number, because the mean of its divisors is an integer number (2009714616).

Almost surely, 2^97917032736 is an apocalyptic number.

97917032736 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 97917032736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144699452352).

97917032736 is an abundant number, since it is smaller than the sum of its proper divisors (191481871968).

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

97917032736 is a wasteful number, since it uses less digits than its factorization.

97917032736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27685 (or 27665 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 97917032736 in words is "ninety-seven billion, nine hundred seventeen million, thirty-two thousand, seven hundred thirty-six".