288837 has 12 divisors (see below), whose sum is σ = 424320. Its totient is φ = 189288.

The previous prime is 288833. The next prime is 288839. The reversal of 288837 is 738882.

It is not a de Polignac number, because 288837 - 2² = 288833 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

288837 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288833) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 364 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (35360).

2²⁸⁸⁸³⁷ is an apocalyptic number.

It is an amenable number.

288837 is a deficient number, since it is larger than the sum of its proper divisors (135483).

288837 is a wasteful number, since it uses less digits than its factorization.

288837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 288837 is about 537.4355775346. The cubic root of 288837 is about 66.1024579426.

The spelling of 288837 in words is "two hundred eighty-eight thousand, eight hundred thirty-seven".