283664 has 10 divisors (see below), whose sum is σ = 549630. Its totient is φ = 141824.

The previous prime is 283639. The next prime is 283669. The reversal of 283664 is 466382.

It can be written as a sum of positive squares in only one way, i.e., 258064 + 25600 = 508^2 + 160^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 283664.

It is not an unprimeable number, because it can be changed into a prime (283669) by changing a digit.

283664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8849 + ... + 8880.

It is an arithmetic number, because the mean of its divisors is an integer number (54963).

2²⁸³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

283664 is a deficient number, since it is larger than the sum of its proper divisors (265966).

283664 is a wasteful number, since it uses less digits than its factorization.

283664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17737 (or 17731 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 283664 is about 532.6011640994. The cubic root of 283664 is about 65.7054520487.

The spelling of 283664 in words is "two hundred eighty-three thousand, six hundred sixty-four".