12357 has 6 divisors (see below), whose sum is σ = 17862. Its totient is φ = 8232.

The previous prime is 12347. The next prime is 12373. The reversal of 12357 is 75321.

It can be written as a sum of positive squares in only one way, i.e., 12321 + 36 = 111^2 + 6^2 .

It is not a de Polignac number, because 12357 - 2⁸ = 12101 is a prime.

12357 is a lucky 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 (12347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 678 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (2977).

2¹²³⁵⁷ is an apocalyptic number.

It is an amenable number.

12357 is a deficient number, since it is larger than the sum of its proper divisors (5505).

12357 is a wasteful number, since it uses less digits than its factorization.

12357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1376 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 12357 is about 111.1620438819. The cubic root of 12357 is about 23.1191049010.

Adding to 12357 its reverse (75321), we get a palindrome (87678).

The spelling of 12357 in words is "twelve thousand, three hundred fifty-seven".