126891 has 12 divisors (see below), whose sum is σ = 191568. Its totient is φ = 80784.

The previous prime is 126859. The next prime is 126913. The reversal of 126891 is 198621.

126891 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 126891 - 2⁵ = 126859 is a prime.

It is a super-2 number, since 2×126891² = 32202651762, which contains 22 as substring.

126891 is strictly pandigital in base 7.

126891 is a lucky number.

It is a plaindrome in base 13.

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 11 ways as a sum of consecutive naturals, for example, 100 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (15964).

2¹²⁶⁸⁹¹ is an apocalyptic number.

126891 is a deficient number, since it is larger than the sum of its proper divisors (64677).

126891 is a wasteful number, since it uses less digits than its factorization.

126891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 126891 is about 356.2176301083. The cubic root of 126891 is about 50.2508724880.

It can be divided in two parts, 12 and 6891, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 126891 in words is "one hundred twenty-six thousand, eight hundred ninety-one".