125209 has 8 divisors (see below), whose sum is σ = 147968. Its totient is φ = 103680.

The previous prime is 125207. The next prime is 125219. The reversal of 125209 is 902521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125209 - 2¹ = 125207 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (18496).

2¹²⁵²⁰⁹ is an apocalyptic number.

It is an amenable number.

125209 is a deficient number, since it is larger than the sum of its proper divisors (22759).

125209 is an equidigital number, since it uses as much as digits as its factorization.

125209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 125209 is about 353.8488377825. The cubic root of 125209 is about 50.0278511501.

The spelling of 125209 in words is "one hundred twenty-five thousand, two hundred nine".