288964 has 12 divisors (see below), whose sum is σ = 544684. Its totient is φ = 133344.

The previous prime is 288947. The next prime is 288973. The reversal of 288964 is 469882.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 122500 = 408^2 + 350^2 .

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

288964 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2727 + ... + 2830.

2²⁸⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

288964 is a deficient number, since it is larger than the sum of its proper divisors (255720).

288964 is a wasteful number, since it uses less digits than its factorization.

288964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5572 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 288964 is about 537.5537182459. The cubic root of 288964 is about 66.1121448156.

It can be divided in two parts, 28896 and 4, that added together give a square (28900 = 170²).

The spelling of 288964 in words is "two hundred eighty-eight thousand, nine hundred sixty-four".