8729249 has 2 divisors, whose sum is σ = 8729250. Its totient is φ = 8729248.

The previous prime is 8729243. The next prime is 8729291. The reversal of 8729249 is 9429278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7840000 + 889249 = 2800^2 + 943^2 .

It is a cyclic number.

It is not a de Polignac number, because 8729249 - 2¹² = 8725153 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8³ + 7⁵ + 2¹¹ + 9² + 2²³ + 4⁹ + 9⁵ .

It is not a weakly prime, because it can be changed into another prime (8729243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4364624 + 4364625.

It is an arithmetic number, because the mean of its divisors is an integer number (4364625).

Almost surely, 2^8729249 is an apocalyptic number.

It is an amenable number.

8729249 is a deficient number, since it is larger than the sum of its proper divisors (1).

8729249 is an equidigital number, since it uses as much as digits as its factorization.

8729249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 8729249 is about 2954.5302503105. The cubic root of 8729249 is about 205.9012393030.

The spelling of 8729249 in words is "eight million, seven hundred twenty-nine thousand, two hundred forty-nine".