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126217 = 7131973
BaseRepresentation
bin11110110100001001
320102010201
4132310021
513014332
62412201
71033660
oct366411
9212121
10126217
1186913
1261061
13455b0
1433dd7
15275e7
hex1ed09

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 it 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 2k-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.

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

Divisors: 1 7 13 19 73 91 133 247 511 949 1387 1729 6643 9709 18031 126217