9967409 has 2 divisors, whose sum is σ = 9967410. Its totient is φ = 9967408.

The previous prime is 9967379. The next prime is 9967411. The reversal of 9967409 is 9047699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7317025 + 2650384 = 2705^2 + 1628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9967409 is a prime.

Together with 9967411, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9967409.

It is not a weakly prime, because it can be changed into another prime (9967439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4983704 + 4983705.

It is an arithmetic number, because the mean of its divisors is an integer number (4983705).

Almost surely, 2^9967409 is an apocalyptic number.

It is an amenable number.

9967409 is a deficient number, since it is larger than the sum of its proper divisors (1).

9967409 is an equidigital number, since it uses as much as digits as its factorization.

9967409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 9967409 is about 3157.1203651429. The cubic root of 9967409 is about 215.2091636738.

The spelling of 9967409 in words is "nine million, nine hundred sixty-seven thousand, four hundred nine".