126981 has 8 divisors (see below), whose sum is σ = 188160. Its totient is φ = 84636.

The previous prime is 126967. The next prime is 126989. The reversal of 126981 is 189621.

It is not a de Polignac number, because 126981 - 2⁵ = 126949 is a prime.

It is a super-2 number, since 2×126981² = 32248348722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4703 = 126981 / (1 + 2 + 6 + 9 + 8 + 1).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126981.

It is not an unprimeable number, because it can be changed into a prime (126989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 2378.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2¹²⁶⁹⁸¹ is an apocalyptic number.

It is an amenable number.

126981 is a deficient number, since it is larger than the sum of its proper divisors (61179).

126981 is an equidigital number, since it uses as much as digits as its factorization.

126981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4706 counting only the distinct ones).

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

The square root of 126981 is about 356.3439349842. The cubic root of 126981 is about 50.2627501618.

The spelling of 126981 in words is "one hundred twenty-six thousand, nine hundred eighty-one".