124609 has 3 divisors (see below), whose sum is σ = 124963. Its totient is φ = 124256.

The previous prime is 124601. The next prime is 124633. The reversal of 124609 is 906421.

124609 = T₃₅₂ + T₃₅₃.

The square root of 124609 is 353.

It is a perfect power (a square), and thus also a powerful number.

124609 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 73984 = 225^2 + 272^2 .

It is not a de Polignac number, because 124609 - 2³ = 124601 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 124609.

It is not an unprimeable number, because it can be changed into a prime (124601) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 177 + ... + 529.

124609 is a Friedman number, since it can be written as (40*9-6-1)^2, using all its digits and the basic arithmetic operations.

2¹²⁴⁶⁰⁹ is an apocalyptic number.

124609 is the 353-rd square number.

124609 is the 177-th centered octagonal number.

It is an amenable number.

124609 is a deficient number, since it is larger than the sum of its proper divisors (354).

124609 is an frugal number, since it uses more digits than its factorization.

124609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 124609 is about 49.9478122143.

The spelling of 124609 in words is "one hundred twenty-four thousand, six hundred nine".