243964 has 12 divisors (see below), whose sum is σ = 487984. Its totient is φ = 104544.

The previous prime is 243953. The next prime is 243973. The reversal of 243964 is 469342.

243964 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 8713 = 243964 / (2 + 4 + 3 + 9 + 6 + 4).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁵ + 4⁵ + 9 + 3¹¹ + 6³ + 4⁸ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4329 + ... + 4384.

2²⁴³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

243964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

243964 is a wasteful number, since it uses less digits than its factorization.

243964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724 (or 8722 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 243964 is about 493.9271201301. The cubic root of 243964 is about 62.4849243639.

The spelling of 243964 in words is "two hundred forty-three thousand, nine hundred sixty-four".