123284 has 36 divisors (see below), whose sum is σ = 272916. Its totient is φ = 48384.

The previous prime is 123269. The next prime is 123289. The reversal of 123284 is 482321.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 19600 = 322^2 + 140^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123289) 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, 3314 + ... + 3350.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

2¹²³²⁸⁴ is an apocalyptic number.

123284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136458).

123284 is an abundant number, since it is smaller than the sum of its proper divisors (149632).

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

123284 is a wasteful number, since it uses less digits than its factorization.

123284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 123284 is about 351.1182137116. The cubic root of 123284 is about 49.7701449523.

The spelling of 123284 in words is "one hundred twenty-three thousand, two hundred eighty-four".