906729 has 16 divisors (see below), whose sum is σ = 1337472. Its totient is φ = 543488.

The previous prime is 906727. The next prime is 906749. The reversal of 906729 is 927609.

It is a cyclic number.

It is not a de Polignac number, because 906729 - 2¹ = 906727 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 906729.

It is not an unprimeable number, because it can be changed into a prime (906727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (83592).

2⁹⁰⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

906729 is a deficient number, since it is larger than the sum of its proper divisors (430743).

906729 is a wasteful number, since it uses less digits than its factorization.

906729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 906729 is about 952.2231881235. The cubic root of 906729 is about 96.7889626671.

The spelling of 906729 in words is "nine hundred six thousand, seven hundred twenty-nine".