123557 has 8 divisors (see below), whose sum is σ = 148800. Its totient is φ = 100224.

The previous prime is 123553. The next prime is 123581. The reversal of 123557 is 755321.

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

It is a cyclic number.

It is not a de Polignac number, because 123557 - 2² = 123553 is a prime.

It is a d-powerful number, because it can be written as 1 + 2¹¹ + 5 + 3⁶ + 5⁵ + 7⁶ .

It is a Duffinian number.

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 (123551) 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, 332 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (18600).

2¹²³⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

123557 is a deficient number, since it is larger than the sum of its proper divisors (25243).

123557 is an equidigital number, since it uses as much as digits as its factorization.

123557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its digits is 1050, while the sum is 23.

The square root of 123557 is about 351.5067566918. The cubic root of 123557 is about 49.8068548598.

Adding to 123557 its reverse (755321), we get a palindrome (878878).

The spelling of 123557 in words is "one hundred twenty-three thousand, five hundred fifty-seven".