243675 has 36 divisors (see below), whose sum is σ = 472440. Its totient is φ = 123120.

The previous prime is 243673. The next prime is 243701. The reversal of 243675 is 576342.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 243675 - 2¹ = 243673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2⁹ + 4 + 6⁶ + 3⁶ + 7⁶ + 5⁷ .

243675 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 243675.

It is not an unprimeable number, because it can be changed into a prime (243671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12816 + ... + 12834.

243675 is a Friedman number, since it can be written as 57^2*(3^4-6), using all its digits and the basic arithmetic operations.

2²⁴³⁶⁷⁵ is an apocalyptic number.

243675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

243675 is a deficient number, since it is larger than the sum of its proper divisors (228765).

243675 is a wasteful number, since it uses less digits than its factorization.

243675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 27 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 243675 is about 493.6344801571. The cubic root of 243675 is about 62.4602413801.

Multiplying 243675 by its sum of digits (27), we get a square (6579225 = 2565²).

243675 divided by its sum of digits (27) gives a square (9025 = 95²).

It can be divided in two parts, 243 and 675, that multiplied together give a square (164025 = 405²).

The spelling of 243675 in words is "two hundred forty-three thousand, six hundred seventy-five".