126517 has 2 divisors, whose sum is σ = 126518. Its totient is φ = 126516.

The previous prime is 126499. The next prime is 126541. The reversal of 126517 is 715621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 62001 = 254^2 + 249^2 .

It is an emirp because it is prime and its reverse (715621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126517 is a prime.

It is equal to p₁₁₈₆₆ and since 126517 and 11866 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126547) 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 as a sum of consecutive naturals, namely, 63258 + 63259.

It is an arithmetic number, because the mean of its divisors is an integer number (63259).

2¹²⁶⁵¹⁷ is an apocalyptic number.

It is an amenable number.

126517 is a deficient number, since it is larger than the sum of its proper divisors (1).

126517 is an equidigital number, since it uses as much as digits as its factorization.

126517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 22.

The square root of 126517 is about 355.6922827389. The cubic root of 126517 is about 50.2014539031.

The spelling of 126517 in words is "one hundred twenty-six thousand, five hundred seventeen".