1003729 has 2 divisors, whose sum is σ = 1003730. Its totient is φ = 1003728.

The previous prime is 1003711. The next prime is 1003733. The reversal of 1003729 is 9273001.

1003729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 859329 + 144400 = 927^2 + 380^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003729 - 2⁷ = 1003601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501864 + 501865.

It is an arithmetic number, because the mean of its divisors is an integer number (501865).

2^1003729 is an apocalyptic number.

It is an amenable number.

1003729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003729 is an equidigital number, since it uses as much as digits as its factorization.

1003729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 1003729 is about 1001.8627650532. The cubic root of 1003729 is about 100.1241458144.

The spelling of 1003729 in words is "one million, three thousand, seven hundred twenty-nine".