126337 has 2 divisors, whose sum is σ = 126338. Its totient is φ = 126336.

The previous prime is 126323. The next prime is 126341. The reversal of 126337 is 733621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 3136 = 351^2 + 56^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126337 is a prime.

It is a super-2 number, since 2×126337² = 31922075138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63168 + 63169.

It is an arithmetic number, because the mean of its divisors is an integer number (63169).

2¹²⁶³³⁷ is an apocalyptic number.

It is an amenable number.

126337 is a deficient number, since it is larger than the sum of its proper divisors (1).

126337 is an equidigital number, since it uses as much as digits as its factorization.

126337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 22.

The square root of 126337 is about 355.4391649776. The cubic root of 126337 is about 50.1776348366.

Adding to 126337 its reverse (733621), we get a palindrome (859958).

The spelling of 126337 in words is "one hundred twenty-six thousand, three hundred thirty-seven".