126261 has 6 divisors (see below), whose sum is σ = 182390. Its totient is φ = 84168.

The previous prime is 126257. The next prime is 126271. The reversal of 126261 is 162621.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 53361 = 270^2 + 231^2 .

It is not a de Polignac number, because 126261 - 2² = 126257 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7006 + ... + 7023.

2¹²⁶²⁶¹ is an apocalyptic number.

It is an amenable number.

126261 is a deficient number, since it is larger than the sum of its proper divisors (56129).

126261 is a wasteful number, since it uses less digits than its factorization.

126261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14035 (or 14032 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 126261 is about 355.3322388976. The cubic root of 126261 is about 50.1675711044.

Adding to 126261 its reverse (162621), we get a palindrome (288882).

It can be divided in two parts, 1 and 26261, that added together give a palindrome (26262).

The spelling of 126261 in words is "one hundred twenty-six thousand, two hundred sixty-one".