1057009 has 8 divisors (see below), whose sum is σ = 1132488. Its totient is φ = 983040.

The previous prime is 1057003. The next prime is 1057013. The reversal of 1057009 is 9007501.

It can be written as a sum of positive squares in 4 ways, for example, as 490000 + 567009 = 700^2 + 753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1057009 - 2¹⁷ = 925937 is a prime.

It is a super-2 number, since 2×1057009² = 2234536052162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1329 + ... + 1969.

It is an arithmetic number, because the mean of its divisors is an integer number (141561).

2^1057009 is an apocalyptic number.

It is an amenable number.

1057009 is a deficient number, since it is larger than the sum of its proper divisors (75479).

1057009 is an equidigital number, since it uses as much as digits as its factorization.

1057009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 1057009 is about 1028.1094299733. The cubic root of 1057009 is about 101.8652905798.

The spelling of 1057009 in words is "one million, fifty-seven thousand, nine".