288997 has 2 divisors, whose sum is σ = 288998. Its totient is φ = 288996.

The previous prime is 288991. The next prime is 289001. The reversal of 288997 is 799882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276676 + 12321 = 526^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 288997 - 2³ = 288989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144498 + 144499.

It is an arithmetic number, because the mean of its divisors is an integer number (144499).

2²⁸⁸⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

288997 is a deficient number, since it is larger than the sum of its proper divisors (1).

288997 is an equidigital number, since it uses as much as digits as its factorization.

288997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 43.

The square root of 288997 is about 537.5844119764. The cubic root of 288997 is about 66.1146614125.

It can be divided in two parts, 28 and 8997, that added together give a square (9025 = 95²).

The spelling of 288997 in words is "two hundred eighty-eight thousand, nine hundred ninety-seven".