122584 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 47520.

The previous prime is 122579. The next prime is 122597. The reversal of 122584 is 485221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹²²⁵⁸⁴ is an apocalyptic number.

122584 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 122584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

122584 is an abundant number, since it is smaller than the sum of its proper divisors (165416).

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

122584 is a wasteful number, since it uses less digits than its factorization.

122584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 122584 is about 350.1199794356. The cubic root of 122584 is about 49.6757686925.

The spelling of 122584 in words is "one hundred twenty-two thousand, five hundred eighty-four".