10414289 has 2 divisors, whose sum is σ = 10414290. Its totient is φ = 10414288.

The previous prime is 10414247. The next prime is 10414309. The reversal of 10414289 is 98241401.

10414289 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., 10029889 + 384400 = 3167^2 + 620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414289 - 2¹² = 10410193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10414189) 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, 5207144 + 5207145.

It is an arithmetic number, because the mean of its divisors is an integer number (5207145).

Almost surely, 2^10414289 is an apocalyptic number.

It is an amenable number.

10414289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414289 is an equidigital number, since it uses as much as digits as its factorization.

10414289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 10414289 is about 3227.1177542817. The cubic root of 10414289 is about 218.3784982544.

The spelling of 10414289 in words is "ten million, four hundred fourteen thousand, two hundred eighty-nine".