123584 has 14 divisors (see below), whose sum is σ = 245364. Its totient is φ = 61760.

The previous prime is 123583. The next prime is 123593. The reversal of 123584 is 485321.

It is not an unprimeable number, because it can be changed into a prime (123581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 902 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (17526).

2¹²³⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

123584 is a deficient number, since it is larger than the sum of its proper divisors (121780).

123584 is an equidigital number, since it uses as much as digits as its factorization.

123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1933 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 123584 is about 351.5451606835. The cubic root of 123584 is about 49.8104825705.

It can be divided in two parts, 1235 and 84, that multiplied together give a triangular number (103740 = T₄₅₅).

The spelling of 123584 in words is "one hundred twenty-three thousand, five hundred eighty-four".