123588 has 18 divisors (see below), whose sum is σ = 312494. Its totient is φ = 41184.

The previous prime is 123583. The next prime is 123593. The reversal of 123588 is 885321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123583) and next prime (123593).

It can be written as a sum of positive squares in only one way, i.e., 97344 + 26244 = 312^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 10.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1681 + ... + 1752.

2¹²³⁵⁸⁸ is an apocalyptic number.

123588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123588 is an abundant number, since it is smaller than the sum of its proper divisors (188906).

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

123588 is a wasteful number, since it uses less digits than its factorization.

123588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3438 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 123588 is about 351.5508498070. The cubic root of 123588 is about 49.8110199641.

It can be divided in two parts, 12 and 3588, that added together give a square (3600 = 60²).

The spelling of 123588 in words is "one hundred twenty-three thousand, five hundred eighty-eight".