1035409 has 2 divisors, whose sum is σ = 1035410. Its totient is φ = 1035408.

The previous prime is 1035403. The next prime is 1035413. The reversal of 1035409 is 9045301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1030225 + 5184 = 1015^2 + 72^2 .

It is an emirp because it is prime and its reverse (9045301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1035409 is a prime.

It is a super-3 number, since 3×1035409³ = 3330098362652768787, which contains 333 as substring.

1035409 is a lucky number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1035409.

It is not a weakly prime, because it can be changed into another prime (1035403) by changing a digit.

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 as a sum of consecutive naturals, namely, 517704 + 517705.

It is an arithmetic number, because the mean of its divisors is an integer number (517705).

2^1035409 is an apocalyptic number.

It is an amenable number.

1035409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035409 is an equidigital number, since it uses as much as digits as its factorization.

1035409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1035409 is about 1017.5504901478. The cubic root of 1035409 is about 101.1666366610.

It can be divided in two parts, 1035 and 409, that added together give a square (1444 = 38²).

The spelling of 1035409 in words is "one million, thirty-five thousand, four hundred nine".