209253 has 16 divisors (see below), whose sum is σ = 323136. Its totient is φ = 119040.

The previous prime is 209249. The next prime is 209257. The reversal of 209253 is 352902.

209253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (209249) and next prime (209257).

It is not a de Polignac number, because 209253 - 2² = 209249 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁴ + 0 + 2¹⁴ + 9² + 5⁶ + 3¹¹ .

209253 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209253.

It is not an unprimeable number, because it can be changed into a prime (209257) 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, 375 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (20196).

2²⁰⁹²⁵³ is an apocalyptic number.

It is an amenable number.

209253 is a deficient number, since it is larger than the sum of its proper divisors (113883).

209253 is a wasteful number, since it uses less digits than its factorization.

209253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 209253 is about 457.4417995767. The cubic root of 209253 is about 59.3686578637.

It can be divided in two parts, 2092 and 53, that added together give a triangular number (2145 = T₆₅).

The spelling of 209253 in words is "two hundred nine thousand, two hundred fifty-three".