126651 has 16 divisors (see below), whose sum is σ = 199424. Its totient is φ = 69984.

The previous prime is 126641. The next prime is 126653. The reversal of 126651 is 156621.

It is a happy number.

126651 is nontrivially palindromic in base 11.

It is not a de Polignac number, because 126651 - 2¹⁰ = 125627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126653) 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 15 ways as a sum of consecutive naturals, for example, 696 + ... + 858.

It is an arithmetic number, because the mean of its divisors is an integer number (12464).

2¹²⁶⁶⁵¹ is an apocalyptic number.

126651 is a deficient number, since it is larger than the sum of its proper divisors (72773).

126651 is a wasteful number, since it uses less digits than its factorization.

126651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its digits is 360, while the sum is 21.

The square root of 126651 is about 355.8805979539. The cubic root of 126651 is about 50.2191712092.

It can be divided in two parts, 126 and 651, that added together give a palindrome (777).

The spelling of 126651 in words is "one hundred twenty-six thousand, six hundred fifty-one".