434009 has 2 divisors, whose sum is σ = 434010. Its totient is φ = 434008.

The previous prime is 433981. The next prime is 434011. The reversal of 434009 is 900434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 120409 = 560^2 + 347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-434009 is a prime.

It is a Sophie Germain prime.

Together with 434011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (434029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217004 + 217005.

It is an arithmetic number, because the mean of its divisors is an integer number (217005).

2⁴³⁴⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

434009 is a deficient number, since it is larger than the sum of its proper divisors (1).

434009 is an equidigital number, since it uses as much as digits as its factorization.

434009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 434009 is about 658.7935943829. The cubic root of 434009 is about 75.7122661314.

The spelling of 434009 in words is "four hundred thirty-four thousand, nine".