126217 has 16 divisors (see below), whose sum is σ = 165760. Its totient is φ = 93312.

The previous prime is 126211. The next prime is 126223. The reversal of 126217 is 712621.

126217 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (126211) and next prime (126223).

It is a 3-Lehmer number, since φ(126217) divides (126217-1)³.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^k-126217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a deceptive number, since it divides R₁₂₆₂₁₆.

126217 is an undulating number in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 126194 and 126203.

It is not an unprimeable number, because it can be changed into a prime (126211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693 + ... + 1765.

It is an arithmetic number, because the mean of its divisors is an integer number (10360).

It is a Poulet number, since it divides 2¹²⁶²¹⁶-1.

2¹²⁶²¹⁷ is an apocalyptic number.

It is an amenable number.

126217 is a deficient number, since it is larger than the sum of its proper divisors (39543).

126217 is a wasteful number, since it uses less digits than its factorization.

126217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 168, while the sum is 19.

The square root of 126217 is about 355.2703196159. The cubic root of 126217 is about 50.1617428873.

Adding to 126217 its reverse (712621), we get a palindrome (838838).

It can be divided in two parts, 126 and 217, that added together give a palindrome (343).

The spelling of 126217 in words is "one hundred twenty-six thousand, two hundred seventeen".