122005 has 8 divisors (see below), whose sum is σ = 157752. Its totient is φ = 90048.

The previous prime is 121997. The next prime is 122011. The reversal of 122005 is 500221.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 117649 = 66^2 + 343^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122005 - 2³ = 121997 is a prime.

It is a Duffinian number.

122005 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 121982 and 122000.

It is a congruent 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, 874 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (19719).

2¹²²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

122005 is a deficient number, since it is larger than the sum of its proper divisors (35747).

122005 is a wasteful number, since it uses less digits than its factorization.

122005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 122005 is about 349.2921413373. The cubic root of 122005 is about 49.5974341805.

Adding to 122005 its reverse (500221), we get a palindrome (622226).

The spelling of 122005 in words is "one hundred twenty-two thousand, five".