243516 has 48 divisors (see below), whose sum is σ = 702464. Its totient is φ = 63936.

The previous prime is 243487. The next prime is 243517. The reversal of 243516 is 615342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 243492 and 243501.

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 243516.

It is not an unprimeable number, because it can be changed into a prime (243517) by changing a digit.

243516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981 + ... + 1203.

2²⁴³⁵¹⁶ is an apocalyptic number.

243516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351232).

243516 is an abundant number, since it is smaller than the sum of its proper divisors (458948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243516 is a wasteful number, since it uses less digits than its factorization.

243516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 243516 is about 493.4734035386. The cubic root of 243516 is about 62.4466531454.

Adding to 243516 its reverse (615342), we get a palindrome (858858).

The spelling of 243516 in words is "two hundred forty-three thousand, five hundred sixteen".