97706256400 has 45 divisors (see below), whose sum is σ = 234754301431. Its totient is φ = 39080001920.

The previous prime is 97706256367. The next prime is 97706256407. The reversal of 97706256400 is 465260779.

The square root of 97706256400 is 312580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32203020304 + 65503236096 = 179452^2 + 255936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97706256407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6243786 + ... + 6259414.

Almost surely, 2^97706256400 is an apocalyptic number.

97706256400 is the 312580-th square number.

It is an amenable number.

97706256400 is an abundant number, since it is smaller than the sum of its proper divisors (137048045031).

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

97706256400 is an frugal number, since it uses more digits than its factorization.

97706256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31276 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 97706256400 in words is "ninety-seven billion, seven hundred six million, two hundred fifty-six thousand, four hundred".