126971 has 4 divisors (see below), whose sum is σ = 136752. Its totient is φ = 117192.

The previous prime is 126967. The next prime is 126989. The reversal of 126971 is 179621.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 126971 - 2² = 126967 is a prime.

It is a super-2 number, since 2×126971² = 32243269682, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126971.

It is not an unprimeable number, because it can be changed into a prime (126961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4871 + ... + 4896.

It is an arithmetic number, because the mean of its divisors is an integer number (34188).

2¹²⁶⁹⁷¹ is an apocalyptic number.

126971 is a deficient number, since it is larger than the sum of its proper divisors (9781).

126971 is an equidigital number, since it uses as much as digits as its factorization.

126971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780.

The product of its digits is 756, while the sum is 26.

The square root of 126971 is about 356.3299033199. The cubic root of 126971 is about 50.2614306974.

Subtracting 126971 from its reverse (179621), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 126971 in words is "one hundred twenty-six thousand, nine hundred seventy-one".