97058417764 has 225 divisors, whose sum is σ = 231412656671. Its totient is φ = 35590558080.

The previous prime is 97058417759. The next prime is 97058417851. The reversal of 97058417764 is 46771485079.

It is a happy number.

The square root of 97058417764 is 311542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 30122379364 + 66936038400 = 173558^2 + 258720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97058417699 and 97058417708.

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 5709318684 + ... + 5709318700.

Almost surely, 2^97058417764 is an apocalyptic number.

97058417764 is the 311542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97058417764

97058417764 is an abundant number, since it is smaller than the sum of its proper divisors (134354238907).

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

97058417764 is an frugal number, since it uses more digits than its factorization.

97058417764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 58.

The spelling of 97058417764 in words is "ninety-seven billion, fifty-eight million, four hundred seventeen thousand, seven hundred sixty-four".