243253 has 8 divisors (see below), whose sum is σ = 264600. Its totient is φ = 222720.

The previous prime is 243239. The next prime is 243259. The reversal of 243253 is 352342.

243253 is a nontrivial binomial coefficient, being equal to C(698, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 33489 + 209764 = 183^2 + 458^2 .

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 243253 - 2¹⁷ = 112181 is a prime.

It is an Ulam number.

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 243253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2²⁴³²⁵³ is an apocalyptic number.

243253 is the 697-th triangular number and also the 349-th hexagonal number.

243253 is the 233-rd centered nonagonal number.

It is an amenable number.

243253 is a deficient number, since it is larger than the sum of its proper divisors (21347).

243253 is a wasteful number, since it uses less digits than its factorization.

243253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 720, while the sum is 19.

The square root of 243253 is about 493.2068531560. The cubic root of 243253 is about 62.4241640197.

Adding to 243253 its reverse (352342), we get a palindrome (595595).

It can be divided in two parts, 2432 and 53, that added together give a triangular number (2485 = T₇₀).

The spelling of 243253 in words is "two hundred forty-three thousand, two hundred fifty-three".