97131955600 has 45 divisors (see below), whose sum is σ = 233374499553. Its totient is φ = 38850288960.

The previous prime is 97131955597. The next prime is 97131955603. The reversal of 97131955600 is 655913179.

The square root of 97131955600 is 311660.

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

It is an interprime number because it is at equal distance from previous prime (97131955597) and next prime (97131955603).

It can be written as a sum of positive squares in only one way, i.e., 34967504016 + 62164451584 = 186996^2 + 249328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97131955603) 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, 6225409 + ... + 6240991.

Almost surely, 2^97131955600 is an apocalyptic number.

97131955600 is the 311660-th square number.

It is an amenable number.

97131955600 is an abundant number, since it is smaller than the sum of its proper divisors (136242543953).

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

97131955600 is an frugal number, since it uses more digits than its factorization.

97131955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31184 (or 15590 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 46.

The spelling of 97131955600 in words is "ninety-seven billion, one hundred thirty-one million, nine hundred fifty-five thousand, six hundred".