10034009 has 2 divisors, whose sum is σ = 10034010. Its totient is φ = 10034008.

The previous prime is 10033999. The next prime is 10034021. The reversal of 10034009 is 90043001.

10034009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8065600 + 1968409 = 2840^2 + 1403^2 .

It is an emirp because it is prime and its reverse (90043001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10034009 - 2⁸ = 10033753 is a prime.

It is a super-2 number, since 2×10034009² = 201362673224162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10034039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017004 + 5017005.

It is an arithmetic number, because the mean of its divisors is an integer number (5017005).

Almost surely, 2^10034009 is an apocalyptic number.

It is an amenable number.

10034009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034009 is an equidigital number, since it uses as much as digits as its factorization.

10034009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10034009 is about 3167.6503910628. The cubic root of 10034009 is about 215.6874265513.

The spelling of 10034009 in words is "ten million, thirty-four thousand, nine".