88289 has 2 divisors, whose sum is σ = 88290. Its totient is φ = 88288.

The previous prime is 88261. The next prime is 88301. The reversal of 88289 is 98288.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 3025 = 292^2 + 55^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-88289 is a prime.

It is a Chen prime.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (88259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44144 + 44145.

It is an arithmetic number, because the mean of its divisors is an integer number (44145).

2⁸⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

88289 is a deficient number, since it is larger than the sum of its proper divisors (1).

88289 is an equidigital number, since it uses as much as digits as its factorization.

88289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 35.

The square root of 88289 is about 297.1346496119. The cubic root of 88289 is about 44.5282402911.

Subtracting 88289 from its reverse (98288), we obtain a palindrome (9999).

The spelling of 88289 in words is "eighty-eight thousand, two hundred eighty-nine".