122509 has 2 divisors, whose sum is σ = 122510. Its totient is φ = 122508.

The previous prime is 122503. The next prime is 122527. The reversal of 122509 is 905221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122500 + 9 = 350^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 122509 - 2³ = 122501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122501) 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, 61254 + 61255.

It is an arithmetic number, because the mean of its divisors is an integer number (61255).

2¹²²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

122509 is a deficient number, since it is larger than the sum of its proper divisors (1).

122509 is an equidigital number, since it uses as much as digits as its factorization.

122509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 122509 is about 350.0128569067. The cubic root of 122509 is about 49.6656356607.

The spelling of 122509 in words is "one hundred twenty-two thousand, five hundred nine".