126357 has 16 divisors (see below), whose sum is σ = 210432. Its totient is φ = 65520.

The previous prime is 126349. The next prime is 126359. The reversal of 126357 is 753621.

It is not a de Polignac number, because 126357 - 2³ = 126349 is a prime.

126357 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126359) 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 15 ways as a sum of consecutive naturals, for example, 43 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (13152).

2¹²⁶³⁵⁷ is an apocalyptic number.

It is an amenable number.

126357 is a deficient number, since it is larger than the sum of its proper divisors (84075).

126357 is a wasteful number, since it uses less digits than its factorization.

126357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568.

The product of its digits is 1260, while the sum is 24.

The square root of 126357 is about 355.4672980740. The cubic root of 126357 is about 50.1802825164.

Adding to 126357 its reverse (753621), we get a palindrome (879978).

Subtracting 126357 from its reverse (753621), we obtain a square (627264 = 792²).

The spelling of 126357 in words is "one hundred twenty-six thousand, three hundred fifty-seven".