97295334084 has 405 divisors, whose sum is σ = 291362974749. Its totient is φ = 28297563840.

The previous prime is 97295334067. The next prime is 97295334107. The reversal of 97295334084 is 48043359279.

The square root of 97295334084 is 311922.

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

97295334084 is a `hidden beast` number, since 9 + 7 + 29 + 533 + 4 + 0 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14392800900 + 82902533184 = 119970^2 + 287928^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 97295334084.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2262682167 + ... + 2262682209.

Almost surely, 2^97295334084 is an apocalyptic number.

97295334084 is the 311922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97295334084

97295334084 is an abundant number, since it is smaller than the sum of its proper divisors (194067640665).

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

97295334084 is a wasteful number, since it uses less digits than its factorization.

97295334084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97295334084 in words is "ninety-seven billion, two hundred ninety-five million, three hundred thirty-four thousand, eighty-four".