126361 has 4 divisors (see below), whose sum is σ = 133812. Its totient is φ = 118912.

The previous prime is 126359. The next prime is 126397. The reversal of 126361 is 163621.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 78400 = 219^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 126361 - 2¹ = 126359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126311) 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 3 ways as a sum of consecutive naturals, for example, 3700 + ... + 3733.

It is an arithmetic number, because the mean of its divisors is an integer number (33453).

2¹²⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

126361 is a deficient number, since it is larger than the sum of its proper divisors (7451).

126361 is an equidigital number, since it uses as much as digits as its factorization.

126361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450.

The product of its digits is 216, while the sum is 19.

The square root of 126361 is about 355.4729244260. The cubic root of 126361 is about 50.1808120188.

Adding to 126361 its reverse (163621), we get a palindrome (289982).

It can be divided in two parts, 1 and 26361, that added together give a palindrome (26362).

The spelling of 126361 in words is "one hundred twenty-six thousand, three hundred sixty-one".