97264768129 has 9 divisors (see below), whose sum is σ = 99976454697. Its totient is φ = 94624763184.

The previous prime is 97264768067. The next prime is 97264768141. The reversal of 97264768129 is 92186746279.

The square root of 97264768129 is 311873.

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 762588225 + 96502179904 = 27615^2 + 310648^2 .

It is not a de Polignac number, because 97264768129 - 2²¹ = 97262670977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97264768199) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 11535087 + ... + 11543515.

Almost surely, 2^97264768129 is an apocalyptic number.

97264768129 is the 311873-rd square number.

97264768129 is the 155937-th centered octagonal number.

It is an amenable number.

97264768129 is a deficient number, since it is larger than the sum of its proper divisors (2711686568).

97264768129 is an frugal number, since it uses more digits than its factorization.

97264768129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16932 (or 8466 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 61.

The spelling of 97264768129 in words is "ninety-seven billion, two hundred sixty-four million, seven hundred sixty-eight thousand, one hundred twenty-nine".