209125 has 16 divisors (see below), whose sum is σ = 299520. Its totient is φ = 142800.

The previous prime is 209123. The next prime is 209147. The reversal of 209125 is 521902.

209125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 209125 - 2¹ = 209123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209123) 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, 756 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2²⁰⁹¹²⁵ is an apocalyptic number.

209125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

209125 is a deficient number, since it is larger than the sum of its proper divisors (90395).

209125 is an equidigital number, since it uses as much as digits as its factorization.

209125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

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

The square root of 209125 is about 457.3018696660. The cubic root of 209125 is about 59.3565501309.

It can be divided in two parts, 2091 and 25, that added together give a square (2116 = 46²).

The spelling of 209125 in words is "two hundred nine thousand, one hundred twenty-five".