243764 has 12 divisors (see below), whose sum is σ = 430500. Its totient is φ = 120768.

The previous prime is 243709. The next prime is 243769. The reversal of 243764 is 467342.

It is a happy number.

243764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 128164 + 115600 = 358^2 + 340^2 .

It is a d-powerful number, because it can be written as 2 + 4⁵ + 7² + 3¹¹ + 6 + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (35875).

2²⁴³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

243764 is a deficient number, since it is larger than the sum of its proper divisors (186736).

243764 is a wasteful number, since it uses less digits than its factorization.

243764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its digits is 4032, while the sum is 26.

The square root of 243764 is about 493.7246196008. The cubic root of 243764 is about 62.4678447929.

The spelling of 243764 in words is "two hundred forty-three thousand, seven hundred sixty-four".