123313164 has 96 divisors (see below), whose sum is σ = 327849984. Its totient is φ = 35804160.

The previous prime is 123313163. The next prime is 123313181. The reversal of 123313164 is 461313321.

It is a happy number.

It is a super-2 number, since 2×123313164² = 30412272831381792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123313163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207652 + ... + 208244.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^123313164 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 123313164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924992).

123313164 is an abundant number, since it is smaller than the sum of its proper divisors (204536820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123313164 is a wasteful number, since it uses less digits than its factorization.

123313164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 685 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 123313164 is about 11104.6460546926. The cubic root of 123313164 is about 497.7406917627.

Adding to 123313164 its reverse (461313321), we get a palindrome (584626485).

The spelling of 123313164 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred sixty-four".