123705 has 12 divisors (see below), whose sum is σ = 214500. Its totient is φ = 65952.

The previous prime is 123701. The next prime is 123707. The reversal of 123705 is 507321.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 95481 = 168^2 + 309^2 .

It is not a de Polignac number, because 123705 - 2² = 123701 is a prime.

123705 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123705.

It is not an unprimeable number, because it can be changed into a prime (123701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1330 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (17875).

2¹²³⁷⁰⁵ is an apocalyptic number.

123705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123705 is a deficient number, since it is larger than the sum of its proper divisors (90795).

123705 is a wasteful number, since it uses less digits than its factorization.

123705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 123705 is about 351.7172159562. The cubic root of 123705 is about 49.8267336020.

It can be divided in two parts, 123 and 705, that added together give a palindrome (828).

The spelling of 123705 in words is "one hundred twenty-three thousand, seven hundred five".