126321 has 16 divisors (see below), whose sum is σ = 188160. Its totient is φ = 74880.

The previous prime is 126317. The next prime is 126323. The reversal of 126321 is 123621.

It is not a de Polignac number, because 126321 - 2² = 126317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126321.

It is not an unprimeable number, because it can be changed into a prime (126323) 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, 1560 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2¹²⁶³²¹ is an apocalyptic number.

It is an amenable number.

126321 is a deficient number, since it is larger than the sum of its proper divisors (61839).

126321 is a wasteful number, since it uses less digits than its factorization.

126321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its digits is 72, while the sum is 15.

The square root of 126321 is about 355.4166568972. The cubic root of 126321 is about 50.1755164916.

Adding to 126321 its reverse (123621), we get a palindrome (249942).

The spelling of 126321 in words is "one hundred twenty-six thousand, three hundred twenty-one".