123165 has 48 divisors (see below), whose sum is σ = 269568. Its totient is φ = 50688.

The previous prime is 123143. The next prime is 123169. The reversal of 123165 is 561321.

123165 = 4³ + 5³ + ... + 26³.

It is not a de Polignac number, because 123165 - 2⁹ = 122653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5344 + ... + 5366.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2¹²³¹⁶⁵ is an apocalyptic number.

123165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123165 is an abundant number, since it is smaller than the sum of its proper divisors (146403).

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

123165 is a wasteful number, since it uses less digits than its factorization.

123165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 55 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 123165 is about 350.9487142019. The cubic root of 123165 is about 49.7541262371.

Adding to 123165 its reverse (561321), we get a palindrome (684486).

It can be divided in two parts, 12316 and 5, that added together give a palindrome (12321).

The spelling of 123165 in words is "one hundred twenty-three thousand, one hundred sixty-five".