209025 has 18 divisors (see below), whose sum is σ = 374790. Its totient is φ = 111360.

The previous prime is 209021. The next prime is 209029. The reversal of 209025 is 520902.

209025 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (209021) and next prime (209029).

It can be written as a sum of positive squares in 3 ways, for example, as 1089 + 207936 = 33^2 + 456^2 .

It is not a de Polignac number, because 209025 - 2² = 209021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 208989 and 209007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209025.

It is not an unprimeable number, because it can be changed into a prime (209021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 240 + ... + 689.

2²⁰⁹⁰²⁵ is an apocalyptic number.

209025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

209025 is a deficient number, since it is larger than the sum of its proper divisors (165765).

209025 is a wasteful number, since it uses less digits than its factorization.

209025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 209025 is about 457.1925196238. The cubic root of 209025 is about 59.3470875266.

Adding to 209025 its reverse (520902), we get a palindrome (729927).

It can be divided in two parts, 20 and 9025, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 209025 in words is "two hundred nine thousand, twenty-five".