8001729 has 6 divisors (see below), whose sum is σ = 11558066. Its totient is φ = 5334480.

The previous prime is 8001727. The next prime is 8001737. The reversal of 8001729 is 9271008.

It can be written as a sum of positive squares in only one way, i.e., 7969329 + 32400 = 2823^2 + 180^2 .

It is not a de Polignac number, because 8001729 - 2¹ = 8001727 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8001727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444532 + ... + 444549.

Almost surely, 2^8001729 is an apocalyptic number.

It is an amenable number.

8001729 is a deficient number, since it is larger than the sum of its proper divisors (3556337).

8001729 is a wasteful number, since it uses less digits than its factorization.

8001729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889087 (or 889084 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 8001729 is about 2828.7327551397. The cubic root of 8001729 is about 200.0144072955.

The spelling of 8001729 in words is "eight million, one thousand, seven hundred twenty-nine".