288461 has 2 divisors, whose sum is σ = 288462. Its totient is φ = 288460.

The previous prime is 288433. The next prime is 288467. The reversal of 288461 is 164882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155236 + 133225 = 394^2 + 365^2 .

It is a cyclic number.

It is not a de Polignac number, because 288461 - 2¹⁰ = 287437 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144230 + 144231.

It is an arithmetic number, because the mean of its divisors is an integer number (144231).

2²⁸⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

288461 is a deficient number, since it is larger than the sum of its proper divisors (1).

288461 is an equidigital number, since it uses as much as digits as its factorization.

288461 is an evil number, because the sum of its binary digits is even.

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

The square root of 288461 is about 537.0856542489. The cubic root of 288461 is about 66.0737620380.

The spelling of 288461 in words is "two hundred eighty-eight thousand, four hundred sixty-one".