122305 has 8 divisors (see below), whose sum is σ = 149544. Its totient is φ = 96000.

The previous prime is 122299. The next prime is 122321. The reversal of 122305 is 503221.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 106929 = 124^2 + 327^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122305 - 2⁵ = 122273 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (18693).

2¹²²³⁰⁵ is an apocalyptic number.

It is an amenable number.

122305 is a deficient number, since it is larger than the sum of its proper divisors (27239).

122305 is an equidigital number, since it uses as much as digits as its factorization.

122305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 122305 is about 349.7213176230. The cubic root of 122305 is about 49.6380528745.

Adding to 122305 its reverse (503221), we get a palindrome (625526).

The spelling of 122305 in words is "one hundred twenty-two thousand, three hundred five".