288413 has 2 divisors, whose sum is σ = 288414. Its totient is φ = 288412.

The previous prime is 288403. The next prime is 288427. The reversal of 288413 is 314882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273529 + 14884 = 523^2 + 122^2 .

It is a cyclic number.

It is not a de Polignac number, because 288413 - 2⁶ = 288349 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 (288403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144206 + 144207.

It is an arithmetic number, because the mean of its divisors is an integer number (144207).

2²⁸⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

288413 is a deficient number, since it is larger than the sum of its proper divisors (1).

288413 is an equidigital number, since it uses as much as digits as its factorization.

288413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536, while the sum is 26.

The square root of 288413 is about 537.0409667800. The cubic root of 288413 is about 66.0700969365.

The spelling of 288413 in words is "two hundred eighty-eight thousand, four hundred thirteen".