123357 has 8 divisors (see below), whose sum is σ = 177184. Its totient is φ = 75888.

The previous prime is 123341. The next prime is 123373. The reversal of 123357 is 753321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123341) and next prime (123373).

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

It is not a de Polignac number, because 123357 - 2⁴ = 123341 is a prime.

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 (123307) 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, 1543 + ... + 1620.

It is an arithmetic number, because the mean of its divisors is an integer number (22148).

2¹²³³⁵⁷ is an apocalyptic number.

It is an amenable number.

123357 is a deficient number, since it is larger than the sum of its proper divisors (53827).

123357 is a wasteful number, since it uses less digits than its factorization.

123357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179.

The product of its digits is 630, while the sum is 21.

The square root of 123357 is about 351.2221519210. Note that the first 3 decimals coincide. The cubic root of 123357 is about 49.7799664585.

Adding to 123357 its reverse (753321), we get a palindrome (876678).

The spelling of 123357 in words is "one hundred twenty-three thousand, three hundred fifty-seven".