122609 has 2 divisors, whose sum is σ = 122610. Its totient is φ = 122608.

The previous prime is 122599. The next prime is 122611. The reversal of 122609 is 906221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 29584 = 305^2 + 172^2 .

It is a cyclic number.

It is not a de Polignac number, because 122609 - 2¹⁶ = 57073 is a prime.

Together with 122611, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122609.

It is not a weakly prime, because it can be changed into another prime (122209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61304 + 61305.

It is an arithmetic number, because the mean of its divisors is an integer number (61305).

2¹²²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

122609 is a deficient number, since it is larger than the sum of its proper divisors (1).

122609 is an equidigital number, since it uses as much as digits as its factorization.

122609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 122609 is about 350.1556796626. The cubic root of 122609 is about 49.6791454513.

The spelling of 122609 in words is "one hundred twenty-two thousand, six hundred nine".