123084 has 36 divisors (see below), whose sum is σ = 336336. Its totient is φ = 37728.

The previous prime is 123083. The next prime is 123091. The reversal of 123084 is 480321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (123083) 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, 337 + ... + 599.

123084 is a Friedman number, since it can be written as 41028*3, using all its digits and the basic arithmetic operations.

2¹²³⁰⁸⁴ 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 123084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168).

123084 is an abundant number, since it is smaller than the sum of its proper divisors (213252).

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

123084 is a wasteful number, since it uses less digits than its factorization.

123084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123084 is about 350.8332937450. The cubic root of 123084 is about 49.7432168391.

The spelling of 123084 in words is "one hundred twenty-three thousand, eighty-four".