1057409 has 6 divisors (see below), whose sum is σ = 1079190. Its totient is φ = 1035936.

The previous prime is 1057393. The next prime is 1057411. The reversal of 1057409 is 9047501.

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 874225 = 428^2 + 935^2 .

It is not a de Polignac number, because 1057409 - 2⁴ = 1057393 is a prime.

It is a super-2 number, since 2×1057409² = 2236227586562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9647 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (179865).

2^1057409 is an apocalyptic number.

It is an amenable number.

1057409 is a deficient number, since it is larger than the sum of its proper divisors (21781).

1057409 is an frugal number, since it uses more digits than its factorization.

1057409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1057409 is about 1028.3039433942. The cubic root of 1057409 is about 101.8781384608.

The spelling of 1057409 in words is "one million, fifty-seven thousand, four hundred nine".