97985902729 has 45 divisors (see below), whose sum is σ = 117302104215. Its totient is φ = 81812736720.

The previous prime is 97985902723. The next prime is 97985902783. The reversal of 97985902729 is 92720958979.

The square root of 97985902729 is 313027.

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., 14494956025 + 83490946704 = 120395^2 + 288948^2 .

It is not a de Polignac number, because 97985902729 - 2²³ = 97977514121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97985902723) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 492391372 + ... + 492391570.

It is an arithmetic number, because the mean of its divisors is an integer number (2606713427).

Almost surely, 2^97985902729 is an apocalyptic number.

97985902729 is the 313027-th square number.

97985902729 is the 156514-th centered octagonal number.

It is an amenable number.

97985902729 is a deficient number, since it is larger than the sum of its proper divisors (19316201486).

97985902729 is an frugal number, since it uses more digits than its factorization.

97985902729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 67.

The spelling of 97985902729 in words is "ninety-seven billion, nine hundred eighty-five million, nine hundred two thousand, seven hundred twenty-nine".