4259 has 2 divisors, whose sum is σ = 4260. Its totient is φ = 4258.

The previous prime is 4253. The next prime is 4261. The reversal of 4259 is 9524.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4259 - 2⁴ = 4243 is a prime.

Together with 4261, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 4259.

It is not a weakly prime, because it can be changed into another prime (4253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2129 + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (2130).

4259 is a deficient number, since it is larger than the sum of its proper divisors (1).

4259 is an equidigital number, since it uses as much as digits as its factorization.

4259 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 4259 is about 65.2610143960. The cubic root of 4259 is about 16.2094848689.

It can be divided in two parts, 425 and 9, that added together give a palindrome (434).

The spelling of 4259 in words is "four thousand, two hundred fifty-nine".