8729005 has 8 divisors (see below), whose sum is σ = 10517112. Its totient is φ = 6955008.

The previous prime is 8728987. The next prime is 8729033. The reversal of 8729005 is 5009278.

It can be written as a sum of positive squares in 4 ways, for example, as 1471369 + 7257636 = 1213^2 + 2694^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8729005 - 2¹¹ = 8726957 is a prime.

It is a super-3 number, since 3×8729005³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2112 + ... + 4681.

It is an arithmetic number, because the mean of its divisors is an integer number (1314639).

Almost surely, 2^8729005 is an apocalyptic number.

It is an amenable number.

8729005 is a deficient number, since it is larger than the sum of its proper divisors (1788107).

8729005 is a wasteful number, since it uses less digits than its factorization.

8729005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 8729005 is about 2954.4889575018. The cubic root of 8729005 is about 205.8993208344.

It can be divided in two parts, 87 and 29005, that added together give a palindrome (29092).

The spelling of 8729005 in words is "eight million, seven hundred twenty-nine thousand, five".