1005729 has 8 divisors (see below), whose sum is σ = 1345632. Its totient is φ = 668160.

The previous prime is 1005709. The next prime is 1005751. The reversal of 1005729 is 9275001.

1005729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 1005729 - 2⁹ = 1005217 is a prime.

It is a super-2 number, since 2×1005729² = 2022981642882, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1005699 and 1005708.

It is not an unprimeable number, because it can be changed into a prime (1005709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (168204).

2^1005729 is an apocalyptic number.

It is an amenable number.

1005729 is a deficient number, since it is larger than the sum of its proper divisors (339903).

1005729 is an equidigital number, since it uses as much as digits as its factorization.

1005729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1005729 is about 1002.8604090301. The cubic root of 1005729 is about 100.1906031403.

The spelling of 1005729 in words is "one million, five thousand, seven hundred twenty-nine".