10006349 has 2 divisors, whose sum is σ = 10006350. Its totient is φ = 10006348.

The previous prime is 10006333. The next prime is 10006351. The reversal of 10006349 is 94360001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8970025 + 1036324 = 2995^2 + 1018^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006349 - 2⁴ = 10006333 is a prime.

Together with 10006351, 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 (10006649) 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, 5003174 + 5003175.

It is an arithmetic number, because the mean of its divisors is an integer number (5003175).

Almost surely, 2^10006349 is an apocalyptic number.

It is an amenable number.

10006349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006349 is an equidigital number, since it uses as much as digits as its factorization.

10006349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10006349 is about 3163.2813659237. The cubic root of 10006349 is about 215.4890543767.

The spelling of 10006349 in words is "ten million, six thousand, three hundred forty-nine".