122085 has 12 divisors (see below), whose sum is σ = 211692. Its totient is φ = 65088.

The previous prime is 122081. The next prime is 122099. The reversal of 122085 is 580221.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 30276 = 303^2 + 174^2 .

It is not a de Polignac number, because 122085 - 2² = 122081 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122085.

It is not an unprimeable number, because it can be changed into a prime (122081) 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 11 ways as a sum of consecutive naturals, for example, 1312 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (17641).

2¹²²⁰⁸⁵ is an apocalyptic number.

122085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122085 is a deficient number, since it is larger than the sum of its proper divisors (89607).

122085 is a wasteful number, since it uses less digits than its factorization.

122085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122085 is about 349.4066398911. The cubic root of 122085 is about 49.6082723369.

The spelling of 122085 in words is "one hundred twenty-two thousand, eighty-five".