9729257769 has 135 divisors (see below), whose sum is σ = 18320800407. Its totient is φ = 4971304800.

The previous prime is 9729257749. The next prime is 9729257789. The reversal of 9729257769 is 9677529279.

The square root of 9729257769 is 98637.

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 (9729257749) and next prime (9729257789).

It can be written as a sum of positive squares in only one way, i.e., 316377369 + 9412880400 = 17787^2 + 97020^2 .

It is not a de Polignac number, because 9729257769 - 2¹³ = 9729249577 is a prime.

It is a super-2 number, since 2×9729257769² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9729257749) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 159495999 + ... + 159496059.

Almost surely, 2^9729257769 is an apocalyptic number.

9729257769 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9729257769 is the 98637-th square number.

9729257769 is the 49319-th centered octagonal number.

It is an amenable number.

9729257769 is a deficient number, since it is larger than the sum of its proper divisors (8591542638).

9729257769 is an equidigital number, since it uses as much as digits as its factorization.

9729257769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 82 counting only the distinct ones).

The product of its digits is 30005640, while the sum is 63.

The cubic root of 9729257769 is about 2134.8133170104.

The spelling of 9729257769 in words is "nine billion, seven hundred twenty-nine million, two hundred fifty-seven thousand, seven hundred sixty-nine".