10400909 has 2 divisors, whose sum is σ = 10400910. Its totient is φ = 10400908.

The previous prime is 10400891. The next prime is 10400911. The reversal of 10400909 is 90900401.

10400909 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8684809 + 1716100 = 2947^2 + 1310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10400909 is a prime.

Together with 10400911, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200454 + 5200455.

It is an arithmetic number, because the mean of its divisors is an integer number (5200455).

Almost surely, 2^10400909 is an apocalyptic number.

It is an amenable number.

10400909 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400909 is an equidigital number, since it uses as much as digits as its factorization.

10400909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 10400909 is about 3225.0440307072. The cubic root of 10400909 is about 218.2849358893.

The spelling of 10400909 in words is "ten million, four hundred thousand, nine hundred nine".