126009 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 77328.

The previous prime is 126001. The next prime is 126011. The reversal of 126009 is 900621.

It is not a de Polignac number, because 126009 - 2³ = 126001 is a prime.

126009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 125982 and 126000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126009.

It is not an unprimeable number, because it can be changed into a prime (126001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹²⁶⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

126009 is a deficient number, since it is larger than the sum of its proper divisors (75591).

126009 is a wasteful number, since it uses less digits than its factorization.

126009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 126009 is about 354.9774640734. The cubic root of 126009 is about 50.1341729636.

The spelling of 126009 in words is "one hundred twenty-six thousand, nine".