123005 has 8 divisors (see below), whose sum is σ = 150072. Its totient is φ = 96768.

The previous prime is 123001. The next prime is 123007. The reversal of 123005 is 500321.

It can be written as a sum of positive squares in 4 ways, for example, as 6724 + 116281 = 82^2 + 341^2 .

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 123005 - 2² = 123001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (18759).

2¹²³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

123005 is a deficient number, since it is larger than the sum of its proper divisors (27067).

123005 is an equidigital number, since it uses as much as digits as its factorization.

123005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 123005 is about 350.7206865869. The cubic root of 123005 is about 49.7325721975.

Adding to 123005 its reverse (500321), we get a palindrome (623326).

The spelling of 123005 in words is "one hundred twenty-three thousand, five".