1058009 has 2 divisors, whose sum is σ = 1058010. Its totient is φ = 1058008.

The previous prime is 1057993. The next prime is 1058011. The reversal of 1058009 is 9008501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1056784 + 1225 = 1028^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 1058009 - 2⁴ = 1057993 is a prime.

It is a super-2 number, since 2×1058009² = 2238766088162, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 1058011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1058059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 529004 + 529005.

It is an arithmetic number, because the mean of its divisors is an integer number (529005).

2^1058009 is an apocalyptic number.

It is an amenable number.

1058009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1058009 is an equidigital number, since it uses as much as digits as its factorization.

1058009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 1058009 is about 1028.5956445562. The cubic root of 1058009 is about 101.8974042085.

The spelling of 1058009 in words is "one million, fifty-eight thousand, nine".