123008 has 24 divisors (see below), whose sum is σ = 253215. Its totient is φ = 59520.
The previous prime is 123007. The next prime is 123017. The reversal of 123008 is 800321.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in only one way, i.e., 61504 + 61504 = 248^2 + 248^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=248.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 122983 and 123001.
It is not an unprimeable number, because it can be changed into a prime (123001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3953 + ... + 3983.
2123008 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123008
123008 is an abundant number, since it is smaller than the sum of its proper divisors (130207).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123008 is an frugal number, since it uses more digits than its factorization.
123008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 123008 is about 350.7249634685. The cubic root of 123008 is about 49.7329765076.
Adding to 123008 its reverse (800321), we get a palindrome (923329).
The spelling of 123008 in words is "one hundred twenty-three thousand, eight".
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