126871 has 6 divisors (see below), whose sum is σ = 135080. Its totient is φ = 119136.

The previous prime is 126859. The next prime is 126913. The reversal of 126871 is 178621.

126871 is nontrivially palindromic in base 14.

126871 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 126871 - 2⁵ = 126839 is a prime.

It is a Duffinian number.

126871 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70 + ... + 508.

2¹²⁶⁸⁷¹ is an apocalyptic number.

126871 is a deficient number, since it is larger than the sum of its proper divisors (8209).

126871 is an equidigital number, since it uses as much as digits as its factorization.

126871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 126871 is about 356.1895562759. The cubic root of 126871 is about 50.2482322423.

It can be divided in two parts, 126 and 871, that multiplied together give a triangular number (109746 = T₄₆₈).

The spelling of 126871 in words is "one hundred twenty-six thousand, eight hundred seventy-one".