124509 has 24 divisors (see below), whose sum is σ = 212800. Its totient is φ = 64680.

The previous prime is 124493. The next prime is 124513. The reversal of 124509 is 905421.

It is not a de Polignac number, because 124509 - 2⁴ = 124493 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124529) 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 23 ways as a sum of consecutive naturals, for example, 11314 + ... + 11324.

2¹²⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

124509 is a deficient number, since it is larger than the sum of its proper divisors (88291).

124509 is an equidigital number, since it uses as much as digits as its factorization.

124509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 21 counting only the distinct ones).

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

The square root of 124509 is about 352.8583285116. The cubic root of 124509 is about 49.9344474281.

Multiplying 124509 by its sum of digits (21), we get a square (2614689 = 1617²).

124509 divided by its sum of digits (21) gives a square (5929 = 77²).

The spelling of 124509 in words is "one hundred twenty-four thousand, five hundred nine".