123786 has 36 divisors (see below), whose sum is σ = 301938. Its totient is φ = 36432.

The previous prime is 123757. The next prime is 123787. The reversal of 123786 is 687321.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 4761 = 345^2 + 69^2 .

It is not an unprimeable number, because it can be changed into a prime (123787) by changing a digit.

123786 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5371 + ... + 5393.

2¹²³⁷⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150969).

123786 is an abundant number, since it is smaller than the sum of its proper divisors (178152).

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

123786 is a wasteful number, since it uses less digits than its factorization.

123786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 123786 is about 351.8323464379. The cubic root of 123786 is about 49.8376064712.

It can be divided in two parts, 123 and 786, that added together give a palindrome (909).

The spelling of 123786 in words is "one hundred twenty-three thousand, seven hundred eighty-six".