123582 has 16 divisors (see below), whose sum is σ = 253440. Its totient is φ = 40152.

The previous prime is 123581. The next prime is 123583. The reversal of 123582 is 285321.

It is an interprime number because it is at equal distance from previous prime (123581) and next prime (123583).

It is a congruent number.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (15840).

2¹²³⁵⁸² is an apocalyptic number.

123582 is an abundant number, since it is smaller than the sum of its proper divisors (129858).

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

123582 is a wasteful number, since it uses less digits than its factorization.

123582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

The product of its digits is 480, while the sum is 21.

The square root of 123582 is about 351.5423160873. The cubic root of 123582 is about 49.8102138693.

The spelling of 123582 in words is "one hundred twenty-three thousand, five hundred eighty-two".