126909 has 12 divisors (see below), whose sum is σ = 187200. Its totient is φ = 82824.

The previous prime is 126859. The next prime is 126913. The reversal of 126909 is 909621.

It is a happy number.

It is not a de Polignac number, because 126909 - 2⁷ = 126781 is a prime.

It is a super-2 number, since 2×126909² = 32211788562, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2¹²⁶⁹⁰⁹ is an apocalyptic number.

It is an amenable number.

126909 is a deficient number, since it is larger than the sum of its proper divisors (60291).

126909 is a wasteful number, since it uses less digits than its factorization.

126909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 126909 is about 356.2428946660. The cubic root of 126909 is about 50.2532484720.

It can be divided in two parts, 126 and 909, that added together give a triangular number (1035 = T₄₅).

The spelling of 126909 in words is "one hundred twenty-six thousand, nine hundred nine".