126701 has 8 divisors (see below), whose sum is σ = 139320. Its totient is φ = 114688.

The previous prime is 126691. The next prime is 126703. The reversal of 126701 is 107621.

It is a happy number.

126701 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 4 ways, for example, as 75625 + 51076 = 275^2 + 226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(126701) divides (126701-1)⁷.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 126701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126703) 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 7 ways as a sum of consecutive naturals, for example, 365 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (17415).

2¹²⁶⁷⁰¹ is an apocalyptic number.

It is an amenable number.

126701 is a deficient number, since it is larger than the sum of its proper divisors (12619).

126701 is a wasteful number, since it uses less digits than its factorization.

126701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 126701 is about 355.9508393023. The cubic root of 126701 is about 50.2257789428.

The spelling of 126701 in words is "one hundred twenty-six thousand, seven hundred one".