97201123237969 has 9 divisors (see below), whose sum is σ = 97377871455067. Its totient is φ = 97024695305584.

The previous prime is 97201123237943. The next prime is 97201123237973. The reversal of 97201123237969 is 96973232110279.

It is a happy number.

The square root of 97201123237969 is 9859063.

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

It can be written as a sum of positive squares in only one way, i.e., 16020302436369 + 81180820801600 = 4002537^2 + 9010040^2 .

It is a de Polignac number, because none of the positive numbers 2^k-97201123237969 is a prime.

It is a super-2 number, since 2×97201123237969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97201123217969) 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, 5609798184 + ... + 5609815510.

Almost surely, 2^{97201123237969} is an apocalyptic number.

97201123237969 is the 9859063-rd square number.

97201123237969 is the 4929532-nd centered octagonal number.

It is an amenable number.

97201123237969 is a deficient number, since it is larger than the sum of its proper divisors (176748217098).

97201123237969 is an frugal number, since it uses more digits than its factorization.

97201123237969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35792 (or 17896 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 61.

The spelling of 97201123237969 in words is "ninety-seven trillion, two hundred one billion, one hundred twenty-three million, two hundred thirty-seven thousand, nine hundred sixty-nine".