123591 has 8 divisors (see below), whose sum is σ = 177520. Its totient is φ = 76032.

The previous prime is 123583. The next prime is 123593. The reversal of 123591 is 195321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123591 - 2³ = 123583 is a prime.

It is a Duffinian number.

123591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (22190).

2¹²³⁵⁹¹ is an apocalyptic number.

123591 is a deficient number, since it is larger than the sum of its proper divisors (53929).

123591 is a wasteful number, since it uses less digits than its factorization.

123591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185.

The product of its digits is 270, while the sum is 21.

The square root of 123591 is about 351.5551165891. Note that the first 3 decimals coincide. The cubic root of 123591 is about 49.8114230018.

Subtracting from 123591 its product of digits (270), we obtain a palindrome (123321).

It can be divided in two parts, 1235 and 91, that added together give a triangular number (1326 = T₅₁).

The spelling of 123591 in words is "one hundred twenty-three thousand, five hundred ninety-one".