288164 has 12 divisors (see below), whose sum is σ = 512988. Its totient is φ = 141600.

The previous prime is 288137. The next prime is 288179. The reversal of 288164 is 461882.

It can be written as a sum of positive squares in 2 ways, for example, as 128164 + 160000 = 358^2 + 400^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288164.

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, 347 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (42749).

2²⁸⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

288164 is a deficient number, since it is larger than the sum of its proper divisors (224824).

288164 is a wasteful number, since it uses less digits than its factorization.

288164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 288164 is about 536.8090908321. The cubic root of 288164 is about 66.0510776935.

It can be divided in two parts, 28 and 8164, that added together give a 13-th power (8192 = 2¹³).

The spelling of 288164 in words is "two hundred eighty-eight thousand, one hundred sixty-four".