1035829 has 2 divisors, whose sum is σ = 1035830. Its totient is φ = 1035828.

The previous prime is 1035791. The next prime is 1035869. The reversal of 1035829 is 9285301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 874225 + 161604 = 935^2 + 402^2 .

It is a cyclic number.

It is not a de Polignac number, because 1035829 - 2¹⁹ = 511541 is a prime.

It is a super-3 number, since 3×1035829³ = 3334152438084083367, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1035797 and 1035806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1035869) 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 as a sum of consecutive naturals, namely, 517914 + 517915.

It is an arithmetic number, because the mean of its divisors is an integer number (517915).

2^1035829 is an apocalyptic number.

It is an amenable number.

1035829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035829 is an equidigital number, since it uses as much as digits as its factorization.

1035829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1035829 is about 1017.7568471890. The cubic root of 1035829 is about 101.1803137823.

The spelling of 1035829 in words is "one million, thirty-five thousand, eight hundred twenty-nine".