10820009 has 2 divisors, whose sum is σ = 10820010. Its totient is φ = 10820008.

The previous prime is 10819979. The next prime is 10820027. The reversal of 10820009 is 90002801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9168784 + 1651225 = 3028^2 + 1285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10820009 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10820099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410004 + 5410005.

It is an arithmetic number, because the mean of its divisors is an integer number (5410005).

Almost surely, 2^10820009 is an apocalyptic number.

It is an amenable number.

10820009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10820009 is an equidigital number, since it uses as much as digits as its factorization.

10820009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10820009 is about 3289.3782087197. The cubic root of 10820009 is about 221.1783127152.

The spelling of 10820009 in words is "ten million, eight hundred twenty thousand, nine".