122165 has 8 divisors (see below), whose sum is σ = 149688. Its totient is φ = 95680.

The previous prime is 122149. The next prime is 122167. The reversal of 122165 is 561221.

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 108241 = 118^2 + 329^2 .

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

It is not a de Polignac number, because 122165 - 2⁴ = 122149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122167) 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 in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 495.

It is an arithmetic number, because the mean of its divisors is an integer number (18711).

2¹²²¹⁶⁵ is an apocalyptic number.

It is an amenable number.

122165 is a deficient number, since it is larger than the sum of its proper divisors (27523).

122165 is an equidigital number, since it uses as much as digits as its factorization.

122165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519.

The product of its digits is 120, while the sum is 17.

The square root of 122165 is about 349.5211009367. The cubic root of 122165 is about 49.6191057596.

Adding to 122165 its reverse (561221), we get a palindrome (683386).

It can be divided in two parts, 12216 and 5, that added together give a palindrome (12221).

The spelling of 122165 in words is "one hundred twenty-two thousand, one hundred sixty-five".